11-12-2017
Mathematics

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How do you factor n^3+1000

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11-12-2017

n^3 + 1000
Steps
you have to apply the sum of cubes rule: x^3 + y^3 = (x + y)(x^2 - xy + y^2)
which is... n^3 + 1000 = (n + 10)(n^2 - 10n + 10^2)
= (n + 10)(n^2 - 10n + 10^2)
Simplify
= (n = 10)(n^2 - 10n + 100)

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