152:@0.052592:0.966074:0.080768:0.966074:0.080768:0.949450:0.052592:0.949450:0.000000:0.000000:0.000000
Tema 5:@0.124729:0.083964:0.219414:0.083964:0.219414:0.055923:0.124729:0.055923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Trinomios cuadrados perfectos:@0.305293:0.083059:0.707696:0.083059:0.707696:0.055403:0.305293:0.055403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una expresión algebraica es un cuadrado perfecto cuando es el producto de dos :@0.304744:0.248874:0.907123:0.248874:0.907123:0.233204:0.304744:0.233204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
factores iguales. Por ejemplo, 64  es cuadrado perfecto de 8 ; y 25  es cuadrado :@0.304744:0.265470:0.907126:0.265470:0.907126:0.249801:0.304744:0.249801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.538660:0.265470:0.547930:0.265470:0.547930:0.249109:0.538660:0.249109:0.000000
2:@0.548836:0.259423:0.554079:0.259423:0.554079:0.250288:0.548836:0.250288:0.000000
a:@0.749621:0.265470:0.758890:0.265470:0.758890:0.249109:0.749621:0.249109:0.000000
x:@0.795920:0.265470:0.803384:0.265470:0.803384:0.249109:0.795920:0.249109:0.000000
2:@0.804282:0.259423:0.809524:0.259423:0.809524:0.250288:0.804282:0.250288:0.000000
perfecto de 5 .:@0.304735:0.282067:0.414785:0.282067:0.414785:0.266397:0.304735:0.266397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.403192:0.282067:0.410656:0.282067:0.410656:0.265705:0.403192:0.265705:0.000000
En este tema analizaremos la factorización de trinomios cuadrados perfectos.:@0.304735:0.305786:0.868744:0.305786:0.868744:0.290116:0.304735:0.290116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En el diseño de la lámina de impresión radiográfica de la imagen, se ha usado la :@0.304735:0.329505:0.907140:0.329505:0.907140:0.313835:0.304735:0.313835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
expresión  9:@0.304735:0.346101:0.393205:0.346112:0.393205:0.330443:0.304735:0.330431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.413477:0.346790:0.381081:0.346790:0.381081:0.331217:0.413477:0.331217:0.000000
+:@0.455989:0.346790:0.423594:0.346790:0.423594:0.331217:0.455989:0.331217:0.000000
x:@0.394840:0.346112:0.402303:0.346112:0.402303:0.329751:0.394840:0.329751:0.000000
xyy:@0.437352:0.346112:0.477814:0.346112:0.477814:0.329751:0.437352:0.329751:0.000000:0.000000:0.000000
6:@0.426725:0.346112:0.435717:0.346112:0.435717:0.330443:0.426725:0.330443:0.000000
2:@0.403950:0.338450:0.409161:0.338450:0.409161:0.329369:0.403950:0.329369:0.000000
2:@0.479444:0.338450:0.484656:0.338450:0.484656:0.329369:0.479444:0.329369:0.000000
para expresar su área, ¿es correcto decir que la placa es :@0.488811:0.346112:0.907135:0.346112:0.907135:0.330443:0.488811:0.330443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrada?:@0.304737:0.362709:0.380346:0.362709:0.380346:0.347039:0.304737:0.347039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dado que el área del cuadrado se obtiene elevando su lado al cuadrado, debemos :@0.304737:0.386428:0.907210:0.386428:0.907210:0.370758:0.304737:0.370758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinar la expresión que representa el área que resulta de esta operación. Para :@0.304737:0.403024:0.907118:0.403024:0.907118:0.387354:0.304737:0.387354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ello, vamos a conceptualizar lo que es un trinomio cuadrado perfecto.:@0.304737:0.419620:0.803647:0.419620:0.803647:0.403951:0.304737:0.403951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De acuerdo con esta información, determinamos si la expresión :@0.304737:0.630381:0.775777:0.630381:0.775777:0.614711:0.304737:0.614711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.807781:0.628542:0.775386:0.628542:0.775386:0.612969:0.807781:0.612969:0.000000
+:@0.850294:0.628542:0.817898:0.628542:0.817898:0.612969:0.850294:0.612969:0.000000
x:@0.789144:0.627865:0.796607:0.627865:0.796607:0.611503:0.789144:0.611503:0.000000
xyy:@0.831657:0.627865:0.872119:0.627865:0.872119:0.611503:0.831657:0.611503:0.000000:0.000000:0.000000
9:@0.778518:0.627865:0.787511:0.627865:0.787511:0.612195:0.778518:0.612195:0.000000
6:@0.821031:0.627865:0.830023:0.627865:0.830023:0.612195:0.821031:0.612195:0.000000
2:@0.798254:0.620202:0.803466:0.620202:0.803466:0.611121:0.798254:0.611121:0.000000
2:@0.873749:0.620202:0.878960:0.620202:0.878960:0.611121:0.873749:0.611121:0.000000
 es :@0.883115:0.630379:0.907117:0.630379:0.907117:0.614710:0.883115:0.614710:0.000000:0.000000:0.000000:0.000000
un trinomio cuadrado perfecto::@0.304745:0.646976:0.535714:0.646976:0.535714:0.631306:0.304745:0.631306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.573182:0.672635:0.519318:0.672635:0.519318:0.657062:0.573182:0.657062:0.000000
+:@0.637163:0.672635:0.583299:0.672635:0.583299:0.657062:0.637163:0.657062:0.000000
x:@0.545122:0.671957:0.552585:0.671957:0.552585:0.655596:0.545122:0.655596:0.000000
xy:@0.609103:0.671957:0.623853:0.671957:0.623853:0.655596:0.609103:0.655596:0.000000:0.000000
y:@0.658313:0.671957:0.665795:0.671957:0.665795:0.655596:0.658313:0.655596:0.000000
9:@0.534494:0.671957:0.543487:0.671957:0.543487:0.656287:0.534494:0.656287:0.000000
6:@0.598475:0.671957:0.607468:0.671957:0.607468:0.656287:0.598475:0.656287:0.000000
2:@0.554230:0.664296:0.559442:0.664296:0.559442:0.655215:0.554230:0.655215:0.000000
2:@0.667413:0.664296:0.672625:0.664296:0.672625:0.655215:0.667413:0.655215:0.000000
x:@0.560652:0.703225:0.568115:0.703225:0.568115:0.686864:0.560652:0.686864:0.000000
y:@0.650597:0.703225:0.658079:0.703225:0.658079:0.686864:0.650597:0.686864:0.000000
3:@0.550810:0.703225:0.559802:0.703225:0.559802:0.687555:0.550810:0.687555:0.000000
2:@0.659700:0.695564:0.664912:0.695564:0.664912:0.686482:0.659700:0.686482:0.000000
xy:@0.604593:0.731979:0.627628:0.731979:0.627628:0.715618:0.604593:0.715618:0.000000:0.000000
2(3):@0.580667:0.731979:0.618997:0.731979:0.618997:0.716310:0.580667:0.716310:0.000000:0.000000:0.000000:0.000000
xy:@0.600770:0.760732:0.615531:0.760732:0.615531:0.744371:0.600770:0.744371:0.000000:0.000000
6:@0.590138:0.760732:0.599130:0.760732:0.599130:0.745063:0.590138:0.745063:0.000000
Regla para factorizar un trinomio cuadrado perfecto:@0.304744:0.786720:0.715146:0.786720:0.715146:0.769819:0.304744:0.769819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: se extrae la raíz cuadrada :@0.715146:0.786720:0.907114:0.786720:0.907114:0.771050:0.715146:0.771050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del primer y tercer término del trinomio y se separan estas raíces por el signo del :@0.304744:0.803316:0.907160:0.803316:0.907160:0.787646:0.304744:0.787646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
segundo término. El binomio ya formado, que es la raíz cuadrada del trinomio, :@0.304744:0.819912:0.907117:0.819912:0.907117:0.804243:0.304744:0.804243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se multiplica por sí mismo o se eleva al cuadrado.:@0.304744:0.836509:0.665900:0.836509:0.665900:0.820839:0.304744:0.820839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.336625:0.862168:0.346742:0.862168:0.346742:0.846595:0.336625:0.846595:0.000000
+:@0.379138:0.862168:0.389255:0.862168:0.389255:0.846595:0.379138:0.846595:0.000000
=:@0.412639:0.862168:0.422756:0.862168:0.422756:0.846595:0.412639:0.846595:0.000000
+:@0.452535:0.862168:0.462652:0.862168:0.462652:0.846595:0.452535:0.846595:0.000000
x:@0.317988:0.861490:0.325451:0.861490:0.325451:0.845129:0.317988:0.845129:0.000000
xyy:@0.360501:0.861490:0.400968:0.861490:0.400968:0.845129:0.360501:0.845129:0.000000:0.000000:0.000000
xy:@0.441170:0.861490:0.474358:0.861490:0.474358:0.845129:0.441170:0.845129:0.000000:0.000000
9:@0.307360:0.861490:0.316353:0.861490:0.316353:0.845820:0.307360:0.845820:0.000000
6:@0.349873:0.861490:0.358866:0.861490:0.358866:0.845820:0.349873:0.845820:0.000000
(3:@0.425629:0.861490:0.440334:0.861490:0.440334:0.845820:0.425629:0.845820:0.000000:0.000000
):@0.476416:0.861490:0.481299:0.861490:0.481299:0.845820:0.476416:0.845820:0.000000
2:@0.327098:0.853829:0.332310:0.853829:0.332310:0.844748:0.327098:0.844748:0.000000
2:@0.402593:0.853829:0.407804:0.853829:0.407804:0.844748:0.402593:0.844748:0.000000
2:@0.481270:0.853829:0.486481:0.853829:0.486481:0.844748:0.481270:0.844748:0.000000
El resultado obtenido nos permite deducir que la forma de la lámina de impresión :@0.304744:0.891502:0.907180:0.891502:0.907180:0.875832:0.304744:0.875832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
radiográfica es la de un cuadrado cuyo lado queda representado por la expresión :@0.304744:0.908098:0.907160:0.908098:0.907160:0.892428:0.304744:0.892428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.328564:0.924115:0.338681:0.924115:0.338681:0.908542:0.328564:0.908542:0.000000
xy:@0.317213:0.923437:0.350401:0.923437:0.350401:0.907076:0.317213:0.907076:0.000000:0.000000
3:@0.307372:0.923437:0.316365:0.923437:0.316365:0.907767:0.307372:0.907767:0.000000
.:@0.351543:0.923437:0.354750:0.923437:0.354750:0.907767:0.351543:0.907767:0.000000
Desarrolla:@0.311168:0.166200:0.392489:0.166200:0.392489:0.149299:0.311168:0.149299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los siguientes binomios en tu cuaderno::@0.392489:0.166200:0.689279:0.166200:0.689279:0.150530:0.392489:0.150530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.311168:0.218838:0.319240:0.218838:0.319240:0.203168:0.311168:0.203168:0.000000:0.000000
(:@0.321437:0.207555:0.327574:0.207555:0.327574:0.187154:0.321437:0.187154:0.000000
):@0.365000:0.207555:0.371137:0.207555:0.371137:0.187154:0.365000:0.187154:0.000000
+:@0.341122:0.205684:0.351238:0.205684:0.351238:0.190111:0.341122:0.190111:0.000000
=:@0.381073:0.205684:0.391189:0.205684:0.391189:0.190111:0.381073:0.190111:0.000000
xy:@0.329762:0.205007:0.362950:0.205007:0.362950:0.188645:0.329762:0.188645:0.000000:0.000000
2:@0.371015:0.195577:0.376226:0.195577:0.376226:0.186495:0.371015:0.186495:0.000000
 :@0.394624:0.218837:0.398659:0.218837:0.398659:0.203167:0.394624:0.203167:0.000000
 :@0.431785:0.218837:0.435820:0.218837:0.435820:0.203167:0.431785:0.203167:0.000000
 :@0.492093:0.218837:0.496129:0.218837:0.496129:0.203167:0.492093:0.203167:0.000000
        :@0.552401:0.218837:0.584686:0.218837:0.584686:0.203167:0.552401:0.203167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.595691:0.202251:0.604684:0.202251:0.604684:0.186581:0.595691:0.186581:0.000000
a:@0.604849:0.202251:0.614119:0.202251:0.614119:0.186858:0.604849:0.186858:0.000000
+:@0.616625:0.202928:0.626742:0.202928:0.626742:0.187355:0.616625:0.187355:0.000000
1:@0.631238:0.193372:0.640231:0.193372:0.640231:0.177702:0.631238:0.177702:0.000000
3:@0.630667:0.212706:0.639659:0.212706:0.639659:0.197037:0.630667:0.197037:0.000000
b:@0.641447:0.202251:0.650716:0.202251:0.650716:0.186858:0.641447:0.186858:0.000000
2:@0.660816:0.183980:0.666028:0.183980:0.666028:0.174899:0.660816:0.174899:0.000000
=:@0.670658:0.202928:0.680775:0.202928:0.680775:0.187355:0.670658:0.187355:0.000000
 :@0.686876:0.218837:0.690912:0.218837:0.690912:0.203167:0.686876:0.203167:0.000000
  :@0.733332:0.218837:0.741403:0.218837:0.741403:0.203167:0.733332:0.203167:0.000000:0.000000
Saberes previos:@0.344861:0.139565:0.470369:0.139565:0.470369:0.122665:0.344861:0.122665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los rayos X son un :@0.106213:0.408598:0.232962:0.408598:0.232962:0.394352:0.106213:0.394352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tipo de radiación :@0.106213:0.423685:0.222927:0.423685:0.222927:0.409440:0.106213:0.409440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
electromagnética, :@0.106213:0.438773:0.230263:0.438773:0.230263:0.424528:0.106213:0.424528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
invisible para el ojo :@0.106213:0.453861:0.237435:0.453861:0.237435:0.439615:0.106213:0.439615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
humano, capaz de :@0.106213:0.468948:0.232845:0.468948:0.232845:0.454703:0.106213:0.454703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
atravesar cuerpos :@0.106213:0.484036:0.227114:0.484036:0.227114:0.469791:0.106213:0.469791:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
opacos y de imprimir :@0.106213:0.499123:0.251086:0.499123:0.251086:0.484878:0.106213:0.484878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
películas fotográficas. :@0.106213:0.514211:0.252477:0.514211:0.252477:0.499966:0.106213:0.499966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los actuales sistemas :@0.106213:0.529299:0.251237:0.529299:0.251237:0.515053:0.106213:0.515053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
digitales permiten :@0.106213:0.544386:0.231184:0.544386:0.231184:0.530141:0.106213:0.530141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtener y visualizar la :@0.106213:0.559474:0.252998:0.559474:0.252998:0.545229:0.106213:0.545229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
imagen radiográfica :@0.106213:0.574561:0.243380:0.574561:0.243380:0.560316:0.106213:0.560316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
directamente en :@0.106213:0.589649:0.220614:0.589649:0.220614:0.575404:0.106213:0.575404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una computadora, :@0.106213:0.604737:0.233548:0.604737:0.233548:0.590491:0.106213:0.590491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sin necesidad de :@0.106213:0.619824:0.221470:0.619824:0.221470:0.605579:0.106213:0.605579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
imprimirla.:@0.106213:0.634912:0.177610:0.634912:0.177610:0.620667:0.106213:0.620667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Sabías que?:@0.138784:0.384087:0.240652:0.384087:0.240652:0.367186:0.138784:0.367186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Radiografía de tórax:@0.096359:0.303235:0.216191:0.303235:0.216191:0.290414:0.096359:0.290414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 2607953.:@0.090139:0.287374:0.090139:0.219458:0.078751:0.219458:0.078751:0.287374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la actualidad, :@0.106105:0.752324:0.217607:0.752324:0.217607:0.738078:0.106105:0.738078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
muchas comunidades :@0.106105:0.767411:0.258049:0.767411:0.258049:0.753166:0.106105:0.753166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
indígenas continúan :@0.106105:0.782499:0.247110:0.782499:0.247110:0.768254:0.106105:0.768254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recreando sus prácticas :@0.106105:0.797586:0.265804:0.797586:0.265804:0.783341:0.106105:0.783341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
educativas ancestrales. :@0.106105:0.812674:0.261564:0.812674:0.261564:0.798429:0.106105:0.798429:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Estas permiten :@0.106105:0.827762:0.208360:0.827762:0.208360:0.813516:0.106105:0.813516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conocer no solo sus :@0.106105:0.842849:0.242503:0.842849:0.242503:0.828604:0.106105:0.828604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aspectos sociopolíticos :@0.106105:0.857937:0.264129:0.857937:0.264129:0.843692:0.106105:0.843692:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y socioculturales, :@0.106105:0.873025:0.223052:0.873025:0.223052:0.858779:0.106105:0.858779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sino también sus :@0.106105:0.888112:0.222500:0.888112:0.222500:0.873867:0.106105:0.873867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conocimientos :@0.106105:0.903200:0.209583:0.903200:0.209583:0.888955:0.106105:0.888955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
científicos.:@0.106105:0.918287:0.176331:0.918287:0.176331:0.904042:0.106105:0.904042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interculturalidad:@0.136439:0.726563:0.266163:0.726563:0.266163:0.708262:0.136439:0.708262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un trinomio cuadrado perfecto (TCP) es un polinomio ordenado en relación :@0.318982:0.456816:0.890957:0.456816:0.890957:0.441147:0.318982:0.441147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con una variable; es cuadrado perfecto cuando el primer y tercer término son :@0.315628:0.473413:0.894198:0.473413:0.894198:0.457743:0.315628:0.457743:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrados perfectos (o tienen la raíz cuadrada exacta) y positivos. Además, el :@0.315628:0.490009:0.894289:0.490009:0.894289:0.474339:0.315628:0.474339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
segundo término equivale al doble del producto de estas raíces cuadradas.:@0.315628:0.506606:0.864782:0.506606:0.864782:0.490936:0.315628:0.490936:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.573722:0.530084:0.583839:0.530084:0.583839:0.514511:0.573722:0.514511:0.000000
+:@0.617064:0.530084:0.627180:0.530084:0.627180:0.514511:0.617064:0.514511:0.000000
a:@0.554354:0.529407:0.563624:0.529407:0.563624:0.513045:0.554354:0.513045:0.000000
abb:@0.595761:0.529407:0.639214:0.529407:0.639214:0.513045:0.595761:0.513045:0.000000:0.000000:0.000000
2:@0.586603:0.529407:0.595595:0.529407:0.595595:0.513018:0.586603:0.513018:0.000000
2:@0.564181:0.521755:0.569393:0.521755:0.569393:0.512256:0.564181:0.512256:0.000000
2:@0.639772:0.521755:0.644984:0.521755:0.644984:0.512256:0.639772:0.512256:0.000000
Esta expresión se obtiene al desarrollar el cuadrado de un binomio. Por lo tanto: :@0.315631:0.557825:0.894185:0.557825:0.894185:0.542156:0.315631:0.542156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.890150:0.557825:0.894185:0.557825:0.894185:0.542156:0.890150:0.542156:0.000000
(:@0.626807:0.585624:0.632943:0.585624:0.632943:0.565223:0.626807:0.565223:0.000000
):@0.669264:0.585624:0.675401:0.585624:0.675401:0.565223:0.669264:0.565223:0.000000
+:@0.537704:0.583752:0.547821:0.583752:0.547821:0.568179:0.537704:0.568179:0.000000
+:@0.581046:0.583752:0.591163:0.583752:0.591163:0.568179:0.581046:0.568179:0.000000
=:@0.613829:0.583752:0.623946:0.583752:0.623946:0.568179:0.613829:0.568179:0.000000
+:@0.646132:0.583752:0.656249:0.583752:0.656249:0.568179:0.646132:0.568179:0.000000
a:@0.518335:0.583075:0.527604:0.583075:0.527604:0.566713:0.518335:0.566713:0.000000
abb:@0.559742:0.583075:0.603198:0.583075:0.603198:0.566713:0.559742:0.566713:0.000000:0.000000:0.000000
ab:@0.634027:0.583075:0.668266:0.583075:0.668266:0.566713:0.634027:0.566713:0.000000:0.000000
2:@0.550587:0.583075:0.559579:0.583075:0.559579:0.566686:0.550587:0.566686:0.000000
2:@0.528177:0.575422:0.533389:0.575422:0.533389:0.565924:0.528177:0.565924:0.000000
2:@0.603768:0.575422:0.608979:0.575422:0.608979:0.565924:0.603768:0.565924:0.000000
2:@0.675283:0.573655:0.680495:0.573655:0.680495:0.564156:0.675283:0.564156:0.000000
M.5.1.1. :@0.096359:0.943943:0.138411:0.943943:0.138411:0.933188:0.096359:0.933188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicar las propiedades algebraicas de los números reales en la resolución de productos notables y en la factorización de expresiones algebraicas.:@0.138411:0.943943:0.815256:0.943943:0.815256:0.933971:0.138411:0.933971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.424877:0.202058:0.431706:0.202058:0.431706:0.191547:0.424877:0.191547:0.000000
+:@0.457877:0.202058:0.464705:0.202058:0.464705:0.191547:0.457877:0.191547:0.000000
a:@0.411803:0.201601:0.418060:0.201601:0.418060:0.190557:0.411803:0.190557:0.000000
ab:@0.443497:0.201601:0.455976:0.201601:0.455976:0.190557:0.443497:0.190557:0.000000:0.000000
b:@0.475517:0.201601:0.481773:0.201601:0.481773:0.190557:0.475517:0.190557:0.000000
4:@0.405124:0.201601:0.411194:0.201601:0.411194:0.191024:0.405124:0.191024:0.000000
4:@0.435052:0.195552:0.441122:0.195552:0.441122:0.184974:0.435052:0.184974:0.000000
3:@0.435196:0.208682:0.441266:0.208682:0.441266:0.198105:0.435196:0.198105:0.000000
1:@0.468200:0.195555:0.474270:0.195555:0.474270:0.184978:0.468200:0.184978:0.000000
9:@0.467564:0.208682:0.473634:0.208682:0.473634:0.198105:0.467564:0.198105:0.000000
2:@0.418446:0.196429:0.421963:0.196429:0.421963:0.190299:0.418446:0.190299:0.000000
2:@0.482156:0.196429:0.485674:0.196429:0.485674:0.190299:0.482156:0.190299:0.000000
+:@0.715702:0.200361:0.694332:0.200361:0.694332:0.189849:0.715702:0.189849:0.000000
+:@0.743900:0.200361:0.722531:0.200361:0.722531:0.189849:0.743900:0.189849:0.000000
x:@0.703121:0.199904:0.708158:0.199904:0.708158:0.188860:0.703121:0.188860:0.000000
xyy:@0.731319:0.199904:0.758634:0.199904:0.758634:0.188860:0.731319:0.188860:0.000000:0.000000:0.000000
2:@0.724395:0.199904:0.730465:0.199904:0.730465:0.189327:0.724395:0.189327:0.000000
2:@0.709271:0.194732:0.712788:0.194732:0.712788:0.188602:0.709271:0.188602:0.000000
2:@0.759732:0.194732:0.763249:0.194732:0.763249:0.188602:0.759732:0.188602:0.000000