Question

Factoriza por agrupación de términos
A)mx+my+nx+ny
B)x³+4x²+3x+x²+4x+3
C)y²+y+x²+x²y
D)x²-x+xy-y
E)1+x+3y+3xy

Answer 1

A.
$mx + my+nx+ny$
$m(x+y)+n(x+y)$
$(m+n)(x+y)$
B.
$x^{3}+ 4x^{2} + 3x+ x^{2} +4x+3$
$x^{2} (x+1) +4x(x+1)+3(x+1)$
$(x+1)( x^{2} +4x+3)$
$(x+1)(x+3)(x+1)$
C.
$y^{2} +y+ x^{2} + x^{2} y$
$y(y+1)+ x^{2} (y+1)$
$(y+ x^{2} )(y+1)$
D.
$x^{2} -x+xy-y$
$x(x-1)+y(x-1)$
$(x+y)(x-1)$

E.
$1+x+3y+3xy$
$1(x+1)+3y(x+1)$
$(1+3y)(1+x)$