Algebra Formulas

Here area 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

• (a^m)(aⁿ) = a^m+n
• (ab)^m = a^mb^m
• (a^m)ⁿ = a^mn
• 
• a⁰ = 1
• (a^m)/(aⁿ) = a^m-n
• a^-m= 1/(a^m)

Quadratic Formula

In an equation like ax² + bx + c = 0

You 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
• 0^a = 0
• a*0 = 0
• a/0 is undefined (you can't do it)

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