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📋 Formula sheet

All formulas with illustrations — print and hang on the wall!

All 📐 Geometry 🔢 Numbers and algebra 〰️ Functions ∫ Calculus 📊 Statistics 🔷 Vectors

🔢 Numbers and algebra

Algebraic identities

(a+b)² = a² + 2ab + b²
Square of sum
a²b²abab
(a-b)² = a² - 2ab + b²
Square of difference
(a+b)(a-b) = a² - b²
Difference of squares
(a+b)(a-b) = a²-b²a²-b²Konjugatsetningen

Exponent rules

aᵐ · aⁿ = aᵐ⁺ⁿ
Product rule
222××= 83
aᵐ / aⁿ = aᵐ⁻ⁿ
Quotient rule
(aᵐ)ⁿ = aᵐⁿ
Power of a power
a⁰ = 1
Zero exponent
a⁻ⁿ = 1/aⁿ
Negative exponent
a^(1/n) = ⁿ√a
Fractional exponent

Logarithms

log(a·b) = log(a) + log(b)
Product rule
log(a/b) = log(a) - log(b)
Quotient rule
log(aⁿ) = n · log(a)
Power rule
ln(e) = 1
Natural log

Absolute value

|x| = x if x ≥ 0
Positive value
0-55|-5| = |5| = 5
|x| = -x if x < 0
Negative value