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

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May 21, 2015

#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)#

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