# Multiplying rational expressions

#### Everything You Need in One Place

Homework problems? Exam preparation? Trying to grasp a concept or just brushing up the basics? Our extensive help & practice library have got you covered.

#### Learn and Practice With Ease

Our proven video lessons ease you through problems quickly, and you get tonnes of friendly practice on questions that trip students up on tests and finals.

#### Instant and Unlimited Help

Our personalized learning platform enables you to instantly find the exact walkthrough to your specific type of question. Activate unlimited help now!

0/1
##### Intros
###### Lessons
1. Review: Multiplying Monomials
0/5
##### Examples
###### Lessons
1. Simplifying Rational Expressions Involving Multiplication
State the non-permissible values, then simplify:
$\frac{5x^2y^3}{x^2y^2} \times \frac{9z^3x^4y^2}{15y^3z^2}$
1. Multiplying Rational Expressions in Factored Form
State the non-permissible values, then simplify:
$\frac{(x+2)}{(x-12)(x+4)} \times \frac{2(x+4)}{x(x+2)}$
1. Convert Expressions to Factored Form, then multiply
State the non-permissible values, then simplify:
1. $\frac{5x^2-15x}{30x^2-10x} \times \frac{3x^2+8x-3}{(x^2-9)}$
2. $\frac{5x+20}{8x-4} \times \frac{10x-5}{(4+x)^2}$
3. $\frac{(x^2+9x+8)(49x^3-x)}{(7x^2+55x-8)(x^2+x)}$
###### Topic Notes
$\bullet$ multiplication rule: $x^a \cdot x^b=x^{a+b}$
$\bullet$ division rule: $\frac{x^a}{x^b}=x^{a-b}$