Math
Simplifying rational expressions.
Definition
The process of reducing a fraction that contains polynomials in the numerator and denominator by factoring both and canceling common factors. The result is the simplest equivalent expression, valid for all values where the original denominator is not zero.
How it works · 4 phases
Step by step.
- Factor the numerator completely.
- Factor the denominator completely.
- Identify and cancel any common factors.
- State any restrictions on the variable (values that make the original denominator zero).
Examples
Real-world.
- 1 (x² − 9)/(x + 3) simplifies to (x − 3) since x² − 9 = (x+3)(x−3)
- 2 (2x² + 4x)/(2x) simplifies to x + 2