__Algebra Formulas__

Here area some of the most commonly used formulas in algebra.

## Factoring: Some Special Cases

## Laws of Exponents

- (a
^{m})(a^{n}) = a^{m+n}
- (ab)
^{m} = a^{m}b^{m}
- (a
^{m})^{n} = a^{mn}
- a
^{0} = 1
- (a
^{m})/(a^{n}) = a^{m-n}
- a
^{-m}= 1/(a^{m})

## Quadratic Formula

In an equation like a^{2}x + bx + c = 0

You can solve for x using the Quadratic Formula:

## Binomial Theorem

- (a + b)
^{1} = a + b
- (a + b)
^{2} = a^{2} + 2ab + b^{2}
- (a + b)
^{3} = a^{3} + 3a^{2}b + 3ab^{2} + b^{3}
- (a + b)
^{4} = a^{4} + 4a^{3}b + 6a2b^{2} + 4ab^{3} + b^{4} ...and so on...

## Difference of Squares

- a
^{2} - b^{2} = (a - b)(a + b)

## Rules of Zero

- 0/x = 0 where x is not equal to 0.
- a
^{0} = 1
- 0
^{a} = 0
- a*0 = 0
- a/0 is undefined (you can't do it)