Question

1 ) Fatores as expressões.

A) xy+x-2y-2

B) 6x+6y+ax+ay

C) 2a+2b+ax-bx

D) 7x+7y+bx+by

E) x^4+9x^3-6x-5y

F) 2ax-2ay-3abx+b

G) 6x^2+15x-4xy-10y

H) 3x-3+ax-a+a^2x-a^2

I) ax+bx+ay+by+az+bz

J) ax^2 -abx+b^2-bx

Answer 1

Explicação passo-a-passo:

a) $xy+x-2y-2=x(y+1)-2(y+1)=(x-2)\cdot(y+1)$

b) $6x+6y+ax+ay=6(x+y)+a(x+y)=(6+a)\cdot(x+y)$

c) $2a+2b+ax+bx=2(a+b)+x(a+b)=(2+x)\cdot(a+b)$

d) $7x+7y+bx+by=7(x+y)+b(x+y)=(7+b)\cdot(x+y)$

g) $6x^2+15x-4xy-10y=3x(2x+5)-2y(2x+5)=(3x-2y)\cdot(2x+5)$

h) $3x-3+ax-a+a^2x-a^2=3(x-1)+a(x-1)+a^2(x-1)=(3+a+a^2)\cdot(x-1)$

i) $ax+by+ay+by+az+bz=a(x+y+z)+b(x+y+z)=(a+b)\cdot(x+y+z)$

j) $ax^2-abx+b^2-bx=ax(x-b)-b(x-b)=(ax-b)\cdot(x-b)$