Sum and difference of cubes

a^3\pm b^3=(a\pm b)(a^2\mp ab+b^2)

Result unit: — (expression)

What it describes

Factoring a sum and a difference of cubes into a product.

a, b

arbitrary expressions (numbers)

A sum and a difference of cubes factor into the product of a binomial and a trinomial (watch the signs — the middle one is opposite).

Factoring expressions involving cubes.

Factor

x^3-8

Substitution

a=x

b=2

Result

(x-2)(x^2+2x+4)

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