Question

Factorize
x^2 (a-y) + 6x(a-y)+8(a-y)

Answer 1

Answer:

Given that: x

2

+6x+8

=x

2

+4x+2x+8, (split middle term)

=(x

2

+4x)+(2x+8), (group pair of terms)

=x(x+4)+2(x+4), (factor each binomials)

=(x+4)(x+2), (factor out common factor (x+4)

Hence factors of x

2

+6x+8 are (x+4)(x+2)

Answer 2

$\huge \boxed{6x + 8}$