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Formula Reference

Every Math Formula, In One Place

Searchable, copy-ready formulas across Algebra, Geometry, Calculus, Statistics, Trigonometry and Probability.

Algebra

Algebra

x = (−b ± √(b²−4ac)) / 2a

Quadratic Formula
Algebra

a² − b² = (a+b)(a−b)

Difference of Squares
Algebra

(a+b)² = a² + 2ab + b²

Square of a Sum
Algebra

aₙ = a₁ + (n−1)d

Arithmetic Sequence (nth term)

Geometry

Geometry

A = πr²

Area of a Circle
Geometry

a² + b² = c²

Pythagorean Theorem
Geometry

V = (4/3)πr³

Volume of a Sphere
Geometry

A = ½ × base × height

Area of a Triangle

Calculus

Calculus

d/dx[xⁿ] = nxⁿ⁻¹

Power Rule
Calculus

d/dx[uv] = u′v + uv′

Product Rule
Calculus

∫xⁿ dx = xⁿ⁺¹/(n+1) + C

Power Rule for Integrals
Calculus

d/dx[f(g(x))] = f′(g(x))·g′(x)

Chain Rule

Statistics

Statistics

x̄ = (Σx) / n

Mean (Average)
Statistics

σ = √(Σ(x−x̄)² / n)

Standard Deviation
Statistics

σ² = Σ(x−x̄)² / n

Variance

Trigonometry

Trigonometry

sin²θ + cos²θ = 1

Pythagorean Identity
Trigonometry

c² = a² + b² − 2ab·cos(C)

Law of Cosines
Trigonometry

a/sin(A) = b/sin(B) = c/sin(C)

Law of Sines

Probability

Probability

P(A) = favorable / total

Probability of an Event
Probability

nCr = n! / (r!(n−r)!)

Combinations
Probability

nPr = n! / (n−r)!

Permutations

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