Math Formulas

(a + b)² = a² + 2ab + b²

(a - b)² = a² - 2ab + b²

a² - b² = (a - b)(a + b)

(a + b)³ = a³ + 3a²b + 3ab² + b³

a³ - b³ = (a - b)(a² + ab + b²)

a³ + b³ = (a + b)(a² - ab + b²)

x^a · x^b = x^a+b

x^a / x^b = x^a-b

(x^a)^b = x^ab

x⁰ = 1 (where x ≠ 0)

x^-a = 1 / x^a

(xy)^a = x^ay^a

log_b(xy) = log_b(x) + log_b(y)

log_b(x/y) = log_b(x) - log_b(y)

log_b(x^c) = c · log_b(x)

log_b(b) = 1

log_b(1) = 0