Question

factor x^6-64

Answer 1

Difference of two squares: a^2 - b^2 = (a + b)(a - b)
Difference of two cubes: a^3 - b^3 = (a - b)(a^2 + ab + b^2)
Sum of two cubes: a^3 + b^3 = (a + b)(a^2 - ab + b^2)

x^6 - 64 (factor as difference of two squares)
(x^3 + 8)(x^3 - 8) (factor first group as sum of two cubes)
(x + 2)(x^2 + 2x + 4)(x^3 - 8) (factor third group as difference of two cubes)
(x + 2)(x^2 - 2x + 4)(x - 2)(x^2 + 2x + 4)
(x + 2)(x - 2)(x^2 + 2x + 4)(x^2 - 2x + 4) <===ANSWER