How do you factor x^3-125x3−125?

1 Answer
Alan P.
Apr 11, 2016

(x-5)(x^2+5x+25)(x−5)(x2+5x+25)

Explanation:

Remember the general factoring
color(white)("XXX")a^3-b^3=(a-b)(a^2+ab+b^2)XXXa3−b3=(a−b)(a2+ab+b2)

Since
color(white)("XXX")x^3-125 = x^3-5^3XXXx3−125=x3−53
it can be factored as
color(white)("XXX")(x-5)(x^2+5x+25)XXX(x−5)(x2+5x+25)

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