# How do you factor x^3+8y^3?

Jun 9, 2018

#### Answer:

(x + 2y)(x^2 – 2xy + 4y^2)

#### Explanation:

This is a difference of cubes so use the formula:

a^3 + b^3 = (a + b)(a^2 – ab + b^2)

x^3 + 8y^3 = (x + 2y)(x^2 – x2y + 2^2y^2)

= (x + 2y)(x^2 – 2xy + 4y^2)