# Simplify Rational Expressions

Videos and lessons to help High School students understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions.

### Suggested Learning Targets

**Simplify rational expressions** by adding, subtracting, multiplying, or dividing.
- Understand that rational expressions are closed under addition, subtraction, multiplication, and division
(by a nonzero expression).

Common Core: HSA-APR.D.7

Related Topics:

Common Core (Algebra)

Common Core for Mathematics

Simplifying Rational Expressions

This video explains how to simplify rational expressions.

Ex 1: Simplifying Rational Expressions - Monomials

The video provides examples of simplifying rationale expressions. These examples have monomial numerators and denominators.

Ex 2: Simplify Rational Expressions

This video provides examples of how to simplify rational expressions.

Ex 3: Simplify Rational Expressions

This video provides examples of how to simplify rational expressions.

Ex 4: Simplify Rational Expressions

This video provides examples of how to simplify rational expressions.

Rational Expressions: Writing in Lowest Terms - Ex 1

The steps are first factor the rational expressions and then cancel to write in lowest terms. The video also discusses the domain of the expressions obtained.

Rational Expressions: Writing in Lowest Terms.

In this example, we reduce a rational expression involving a cubic polynomial and a quadratic polynomial.

Simplifying Rational Expressions.

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