Multiplying and Dividing Rational Expressions

Practice Questions

Algebra II › Multiplying and Dividing Rational Expressions

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1

Simplify: $\frac{x}{x-9}\div\frac{x-9}{x-18}$

2

Simplify: $\frac{x^2-x}{x^3-x} \cdot \frac{x+1}{x-1}$

3

Multiply:

$\frac{2s^3(9s^2-25)}{s+1}*\frac{3s^2+8s+5}{12s^2-20s}$

4

(9_x_2 – 1) / (3_x_ – 1) =

5

$\frac{\frac{4}{x}}{\frac{6}{x^2}}$

6

Which is a simplified form of $\frac{2a^{2}b^{3}c^{-2}}{(4a^{-1}b^{2}c)^{3}}$ ?

7

Divide: $\frac{x^3-1}{x+1} \div \frac{1}{x-1}$

8

$\frac{2m^2+13m+15}{2m^2-5m-12}*\frac{3m^2-14m+8}{3m^2+13m-10}$

9

$\frac{2a}{b^2}\cdot \frac{5b^4}{10a}$

10

Multiply: $\frac{3x}{x-3}\cdot \frac{x+3}{x-3}$

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