Question

efectuar y simplificar
1) 10x²-11x-6
2) 10p²+3p-18
3) x²+6xy+5y²

Answer 1

$1)10x^2-11x-6$
Factorizar:
$=\left(5x+2\right)\left(2x-3\right)$

$2)10p^2+3p-18$
Factorizar:
$=\left(5p-6\right)\left(2p+3\right)$

$3)x^2+6xy+5y^2$
$\mathrm{Factorizar\:la\:expresion}:$
$=\left(x^2+xy\right)+\left(5xy+5y^2\right)$
$\mathrm{Factorizar\:}x\mathrm{\:de\:}x^2+xy\mathrm{:\quad }x\left(x+y\right)$
$\mathrm{Factorizar\:}5y\mathrm{\:de\:}5xy+5y^2\mathrm{:\quad }5y\left(x+y\right)$
$=x\left(x+y\right)+5y\left(x+y\right)$
$\mathrm{Factorizar\:el\:termino\:comun\:}\left(x+y\right):$
=(x+y)(x+5y)