These free video lessons with examples and solutions help Algebra students learn how to
simplify algebraic rational expressions.

A rational expression is a fraction in which the numerator and/or the denominator are polynomials.

** For example: **

In this lesson, we will look at simplifying rational expressions. A rational expression has been simplified or reduced to lowest terms if all common factors from the numerator and denominator have been canceled.

1. We first need to factor the polynomials

2. Cancel any common factors from the top and bottom of the rational expression.

*Example: *

Simplify each of the following rational expressions:

*Solution: *

Example:

Simplify

(4x

Example:

Simplify

(7x

Example:

Simplify

(4x

Step 1: Factor them

Step 2: Cancel to write in lowest terms

Give the domain of the expressions

Examples:

Simplify

a) (x + 2)/(x

b) (x

How to reduce a rational expression involving a cubic polynomial and a quadratic polynomial?

Examples:

Simplify

(x

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