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

1 Answer

Jun 9, 2018

#(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)#

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