Question

Identify the factors of the expression x^3 + 4x^2 - 16x - 64
Please show work :)

Answer 1

(x+4)²(x-4)

Explanation:

x³+4x²-16x-64

x²(x+4)-16(x+4)

(x+4)(x²-16)

Rewrite (-16) as (-4²)*

(x+4)(x²-4²)

(x+4)(x+4)(x-4)

(x+4)²(x-4)

Hope it helps! :) ~