What is the factorization of x^3+8?

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20-06-2017
Mathematics

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What is the factorization of x^3+8?

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LilxShorty LilxShorty · Answer 1 · 2017-06-20T12:24:58+02:00

LilxShorty LilxShorty

20-06-2017

x^3 + 8 = x^3 + 2^3, a sum of two cubes.

So it can be factorised using the sum of two cubes rule...

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

Therefore

x^3 + 8 = (x + 2)(x^2 - 2x + 4).
Hope this helps

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