Laws of Exponents
- (am)(an) = am+n
- (ab)m = ambm
- (am)n = amn
- a0 = 1
- (am)/(an) = am-n
- a-m= 1/(am)
Quadratic Formula
In an equation like ax2 + bx + c = 0You can solve for x using the Quadratic Formula:
Binomial Theorem
- (a + b)1 = a + b
- (a + b)2 = a2 + 2ab + b2
- (a + b)3 = a3 + 3a2b + 3ab2 + b3
- (a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4 ...and so on...
Difference of Squares
- a2 - b2 = (a - b)(a + b)
Rules of Zero
- 0/x = 0 where x is not equal to 0.
- a0 = 1
- 0a = 0
- a*0 = 0
- a/0 is undefined (you can't do it)