Algebra Formula Calculator

Difference of Squares

(a² - b²) = (a - b)(a + b)

Perfect Square

(a + b)² = a² + 2ab + b²

Sum of Squares

a² + b² = (a + b)² - 2ab

Perfect Square

(a - b)² = a² - 2ab + b²

Trinomial Square

(a + b + c)² =
a² + b² + c² + 2ab + 2bc + 2ca

Cube Formula

(a + b)³ =
a³ + 3a²b + 3ab² + b³

Cube Formula

(a - b)³ = a³ - 3a²b + 3ab² - b³

Difference of Cubes

a³ - b³ = (a - b)(a² + ab + b²)

Sum of Cubes

a³ + b³ = (a + b)(a² - ab + b²)

Binomial Expansion

(a + b)⁴ =
a⁴ + 4a³b + 6a²b² + 4ab³ + b⁴

Binomial Expansion

(a - b)⁴ =
a⁴ - 4a³b + 6a²b² - 4ab³ + b⁴