How do you factor $125x^3 + 8y^3$ ?

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Answer 1 · 2015-05-21T22:20:53

$125x^3+8y^3$

$=(5x)^3+(2y)^3$

$=(5x+2y)((5x)^2-(5x)(2y)+(2y)^2)$

$=(5x+2y)(25x^2-10xy+4y^2)$

using the standard factorisation:

$(a^3+b^3) = (a+b)(a^2-ab+b^2)$

How do you factor 125x^3 + 8y^3125x^3 + 8y^3?