Algebra
Intermediate

Sum of Cubes

Factors the 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, bAny real numbers

Example

8 + 27 = 2³ + 3³ = (2+3)(4 − 6 + 9) = 5×7 = 35. ✓

Did You Know?

The sum and difference of cubes factor neatly — a fact exploited constantly in calculus and cryptography.

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