1. Factoring formulas
ab + ac = a(b + c) common factor
a2 - b2 = (a + b)(a - b) difference of squares
a2 + 2ab + b2 = (a + b)2 perfect square
a2 - 2ab + b2 = (a - b)2
2. Properties of Logarithms
logb xy = logb x + logb y
logb (x/y) = logb x - logb y
logb xr = r logb x
logb 1 = 0
logb b = 1
logb x = logax/logab Change of base
3. Properties of Exponents
a-n = 1/an , a!=0
aman = am+n
am/an = am - n , a!=0
(ab)n = anbn
(a/b)n = an/bn , b!=0
a0 = 1 , a!=0
4. Quadratic Formula
5. Trigonometry
Law of sines:
Law of cosines:
Angle measurements:
6. Calculus:
Differentiation:
Product rule:
Division rule:
Chain rule:
Integration:
Integration by parts: