Algebra
Intermediate

Sum of Cubes

Factoring formula for a sum of two cubes.

Formula

a3+b3=(a+b)(a2−ab+b2)a^3 + b^3 = (a+b)(a^2 - ab + b^2)

Variables

a,bTerms

Example

8+27 = (2+3)(4-6+9) = 35

Did You Know?

The sum-of-cubes factorisation was known to medieval Islamic mathematicians centuries before modern algebraic notation existed.

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