# Multiplying rational expressions

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##### Intros
###### Lessons
1. Review: Multiplying Monomials
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##### 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: $\frac{x^a}{x^b}=x^{a-b}$