Algebra Formulas

Here are some of the most commonly used formulas in algebra. If you have one you'd like to be added, or find an error, please contact me.

Laws of Exponents

  • (am)(an) = am+n
  • (ab)m = ambm
  • (am)n = amn
  • Fractional Exponents
  • a0 = 1
  • (am)/(an) = am-n
  • a-m= 1/(am)

Quadratic Formula

In an equation like ax2 + bx + c = 0

You can solve for x using the Quadratic Formula:

Quadratic Formulas

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)
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