Name | Description | Notes |
---|---|---|
Commutative law | a + b = b + a a × b = b × a |
Addition Multiplication |
Associative law | (a + b) + c = a + (b + c) (a × b) × c = a × (b × c) |
Addition Multiplication |
Distributive law | a × (b + c) = a × b + a × c | |
Pythagorean theorem | a^{2} + b^{2} = c^{2} | a, b, and c represent the lengths of the three sides of a triangle, with c being the length of the hypotenuse |
Quadratic formula | Solution for the general quadratic equation: ax^{2} + bx + c = 0 | |
Exponents, multiplication of | x^{a}x^{b} = x^{a+b} | Must have same base |
Exponents, division of | x^{a}/x^{b} = x^{a-b} | Must have same base |
Exponents, base raised to two | (x^{a})^{b} = x^{ab} | |
Exponent, negative | x^{-a} = 1/x^{a} |