Simplifying Rational Expressions

Practice Questions

High School Math › Simplifying Rational Expressions

Questions

7

1

Divide and simplify the following rational expression:

$\frac{x^2+7x+10}{x+2}\div \frac{x^2+2x-15}{x^2-5x+6}$

2

Simplify the following rational expression:

$\frac{n+5+\frac{3}{n+1}}{n-1-\frac{3}{n+1}}$

3

Multiply and simplify the following rational expression:

$\frac{a^3-b^3}{b^2-a^2} \cdot \frac{a+b}{a^2+ab+b^2}$

4

Divide and simplify the following rational expression:

$\frac{x^2-11x+24}{x^2-18x+80}\div \frac{x^2-9x+20}{x^2-15x+50}$

5

Simplify $\frac{x+2}{x-1}+\frac{x-5}{x+3}$

6

Add and simplify the following rational expression:

$3n+1+\frac{1}{3n-1}$

7

Simplify the following rational expression:

$\frac{\frac{x+y}{x}}{\frac{1}{x}+\frac{1}{y}}$

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