How do you factor #u^3 - 125v^3#?

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How do you factor #u^3 - 125v^3#?

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Answer 1 · 2016-03-05T20:24:05

#u^3-(5v)^3=(u-5v)(u^2+5uv+25v^2)#

Explanation:

Use the difference of two cubes formula. That is, #(x^3-y^3)=(x-y)(x^2+xy+y^2)#. So first write out the problem as a difference of two cubes then apply the formula.

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How do you factor #u^3 - 125v^3#?

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