Rational Expressions

Reduce the rational expression to lowest terms:
 $\frac{x^2+4x+4}{x^2-4}$  

•  $\frac{1}{x-2}$  

•  $\frac{x+2}{x-2}$  

• -1

•  $\frac{x-2}{x+2}$  

Tags

CCSS.HSA.APR.D.6

Reduce the rational expression to lowest terms: $\frac{2x^2+5x-3}{1-2x}$  

•  $-\left(x+3\right)$  

•  $\frac{\left(x+6\right)\left(x-1\right)}{1-2x}$  

•  $\frac{\left(x+3\right)\left(2x-1\right)}{1-2x}$  

•  $x+3$  

Tags

CCSS.HSA.APR.D.6

Perform the indicated operation and simplify the result. Leave your answer in factored form. $\frac{x^2-3x-10}{x^2+2x-35}\cdot\frac{x^2+4x-21}{x^2+9x+14}$  

•  $\frac{\left(x-5\right)\left(x-3\right)}{\left(x+5\right)\left(x-7\right)}$  

•  $\frac{-\left(x-3\right)}{x-7}$  

•  $\frac{\left(x-5\right)\left(x+3\right)}{\left(x+5\right)\left(x+7\right)}$  

•  $\frac{x-3}{x+7}$  

Tags

CCSS.HSA.APR.D.7

 Perform the indicated operation. Simplify the result. Leave the answer in factored form. 
 $\frac{\frac{6x}{x^2-4}}{\frac{3x-9}{2x+4}}$ 

•  $\frac{9x\left(x-3\right)}{\left(x+2\right)^2\left(x-2\right)}$  

•  $\frac{12x}{3\left(x-2\right)\left(x-3\right)}$  

•  $\frac{4x}{\left(x-2\right)\left(x-3\right)}$  

•  $\frac{-4x}{\left(x+2\right)\left(x-3\right)}$  

Tags

CCSS.HSA.APR.D.7

Subtract the fractions

• a
• b
• c
• d

Tags

CCSS.HSA.APR.D.7

Add the fractions

• a
• b
• c
• d

Tags

CCSS.HSA.APR.D.7

• A
• B
• C

Tags

CCSS.HSA.APR.D.7

• A
• B
• C

Tags

CCSS.HSA.APR.D.7

• A
• B
• C

Tags

CCSS.HSA.APR.D.7

Divide the Rational Expression

• A

• B

• C

• D

Tags

CCSS.HSA.APR.D.6