Question

Fatore os seguintes polinômios a) ax+bx+ay+by B) 5x-10y+2ax-4ay c) 2ay-4a+by-2b

Answer 1

a) x(a+b)+y(a+b)
=(x+y)(a+b)
b)5(x-2y)+2a(x-2y)
=(5+2a)(x-2y)
c)2a(y-2)+b(y-2)
= (2a+b)(y-2)

Answer 2

a) ax+bx+ay+by =
    ax +ay +bx +by =
    a(x +y) + b(x +y) =
    (a +b) (x +y)

b) 5x-10y+2ax-4ay =
    5x +2ax -10y -4ay =
    x(5 +2a) -2y(5 -2a) =
    (x -2y) (5 -2a)²

c) 2ay-4a+by-2b =
    2a(y-2) +b(y-2) =
    (2a +b) (y-2)²