Question

X^(3)+2x^(2)y-4x-8y
help

Answer 1

(x + 2y)(x + 2)(x - 2).

Explanation:

The expression x^(3) + 2x^(2)y - 4x - 8y can be factorized by grouping:

x^(3) + 2x^(2)y - 4x - 8y

= x^(2)(x + 2y) - 4(x + 2y)

= (x + 2y)(x^(2) - 4)

= (x + 2y)(x + 2)(x - 2)

Therefore, the expression can be factorized as (x + 2y)(x + 2)(x - 2).