Algebra
Intermediate

Cube of a Binomial

Expands the cube of a binomial expression.

Formula

(a+b)3=a3+3a2b+3ab2+b3(a+b)^3 = a^3 + 3a^2b + 3ab^2 + b^3

Variables

a, bAny real numbers

Example

(x+2)³ = x³ + 3x²(2) + 3x(4) + 8 = x³ + 6x² + 12x + 8.

Did You Know?

Expanding (a+b)³ gives coefficients 1, 3, 3, 1 — the third row of Pascal's Triangle.