Question

Factorizar: R= 100x² + 91xy + 12y²​

Answer 1

Respuesta:

   R = ( 4x + 3y ) ( 25x + 4y )

Explicación paso a paso:

R= 100x² + 91xy + 12y²​

Multiplicamos y dividimos por el coeficiente de $x^{2}$ :

$R = \frac{100(100x^{2}+91xy + 12y^{2}) }{100} =\frac{(100x)^{2}+91y(100x)+1200y^{2} }{100}$

Descomponemos en factores:

$R = \frac{( 100x + 75y ) ( 100x + 16y )}{100} = \frac{(100x + 75y )}{25} *\frac{(100x + 16y )}{4}$

$R = ( 4x + 3y ) ( 25x + 4y )$