Basic Algebra Formulas

This page contains basic algebra formulas that are most commonly used.

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)