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Sum and Difference of Cubes

The sum and difference of cubes identities are

a^3+b^3=(a+b)(a^2-ab+b^2)
(1)
a^3-b^3=(a-b)(a^2+ab+b^2).
(2)

These factorizations hold in every commutative ring, and more generally whenever a and b commute.

See also

Difference of Squares, Factorization, Polynomial Factorization

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Cite this as:

Weisstein, Eric W. "Sum and Difference of Cubes." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/SumandDifferenceofCubes.html

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