- DU Library
- Library Guides
- Math Skills Overview Guide
- Rational Expressions

Menu

- Home
- Basic OperationsToggle Dropdown
- Order of Operations
- Math PropertiesToggle Dropdown
- Factors & MultiplesToggle Dropdown
- FractionsToggle Dropdown
- Decimals
- PercentsToggle Dropdown
- Ratios & ProportionsToggle Dropdown
- ExponentsToggle Dropdown
- Scientific Notation
- Averages
- Equation Basics
- PolynomialsToggle Dropdown
- Linear EquationsToggle Dropdown
- Absolute Value
- Rational Expressions
- Roots & Radicals
- QuadraticToggle Dropdown
- FunctionsToggle Dropdown
- Algebraic Ratios & Proportions
- Equations & Inequalities
- LogarithmsToggle Dropdown
- Imaginary Numbers
- Sequences & Series
- Introduction to Matrices
- GeometryToggle Dropdown
- TrigonometryToggle Dropdown
- Math Documents
- Get Help From Sarah

**A rational expression is the ratio of two polynomials.**

If **f** is a rational expression then** f** can be written in the form **p/q** where **p** and **q** are polynomials. Like polynomials or any other type of expression, the basic arithmetic operations, namely addition, subtraction, multiplication, and division, can be performed on rational expressions. A nice property of rational expressions is that when any of these operations are performed on two rational expressions, the result is always another rational expression. Contrary to polynomials, it is generally easy to multiply or divide but difficult to add or subtract two rational expressions.

To simplify a rational expression: $$\frac{x^2-16}{x^3+64}$$ a) Completely factor numerators and denominators. $$\frac{(x+4)(x-4)}{(x+4)(x^2-4x+16)}$$ b) Reduce common factors. $$\frac{(x-4)}{(x^2-4x+16)}$$

Watch a Khan Academy Video »

*Length: 15:23 *

Watch a Khan Academy Video »

*Length: 16:30*

Watch a Khan Academy Video »

*Length: 5:35 *

Watch a Khan Academy Video »

*Length: 5:05 *

Watch a Khan Academy Video »

*Length: 1:49 *

- Last Updated: Jun 10, 2024 6:43 PM
- URL: https://davenport.libguides.com/math-skills-overview
- Print Page