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Algebra
Algebra Formulas Cheat Sheet
Complete algebra formulas cheat sheet with exponent rules, factoring patterns, quadratic formula, logarithm rules, and polynomial identities. Free PDF download.
Exponent Rules
| Name | Formula | Notes |
|---|---|---|
| Product Rule | Same base: add exponents | |
| Quotient Rule | Same base: subtract exponents | |
| Power Rule | Power of a power: multiply | |
| Product to Power | ||
| Quotient to Power | ||
| Zero Exponent | ||
| Negative Exponent | ||
| Fractional Exponent |
Factoring Patterns
| Name | Formula | Notes |
|---|---|---|
| Difference of Squares | ||
| Perfect Square (sum) | ||
| Perfect Square (diff) | ||
| Sum of Cubes | ||
| Difference of Cubes |
Quadratic Equations
| Name | Formula | Notes |
|---|---|---|
| Standard Form | ||
| Quadratic Formula | ||
| Discriminant | D > 0: two real roots D = 0: one root D < 0: complex roots | |
| Vertex Form | Vertex at (h, k) | |
| Sum of Roots | ||
| Product of Roots |
Logarithm Rules
| Name | Formula | Notes |
|---|---|---|
| Definition | ||
| Product Rule | ||
| Quotient Rule | ||
| Power Rule | ||
| Change of Base | ||
| Log of 1 | ||
| Log of Base |
Radical Rules
| Name | Formula | Notes |
|---|---|---|
| Product | ||
| Quotient | ||
| Power | ||
| Nested |
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