Question

What is the factored form of 125a^6-64?

Answer 1

(5 a^2 - 4) (25 a^4 + 20 a^2 + 16)

Explanation:

Since both terms are perfect cubes, factor using the difference of cubes formula,

a^3 − b^ 3 = (a − b) (a^2 + a b + b^2) where a = 5a^2 and b = 4 .