Multiply and Divide Rational Expressions F25

 $\frac{x^2+10x+24}{x^2-x-20}$  Simplify.

• $\frac{x+6}{x+4}$

• $\left(x+6\right)\left(x+4\right)$

• $x+6$

• $\frac{x+6}{x-5}$

Tags

CCSS.HSA.APR.D.6

Simplify $\frac{x+9}{x^2-81}$  

• $\frac{x-9}{x+9}$

• $\frac{1}{x-9}$

• $x+9$

• $\frac{1}{x+9}$

Tags

CCSS.HSA.APR.D.6

Complete Step 1: Multiply by the reciprocal or KFC (Keep, Flip, Change)
 $\frac{3\left(x-9\right)}{x^2-36}\div\frac{x-9}{x^2-x-30}$  

•  $\frac{x^2-36}{3\left(x-9\right)}\cdot\frac{x^2-x-30}{x-9}$  

•  $\frac{3\left(x-9\right)}{x^2-36}\cdot\frac{x^2-x-30}{x-9}$  

Tags

CCSS.HSA.APR.D.6

 $\frac{b-4}{b^2-14b+40}\div\frac{b^2+6b+8}{b^2-3b-70}$  

•  $\frac{b-3}{6}$  

•  $\frac{2b}{9}$  

•  $\frac{5b\left(b-6\right)}{7}$  

•  $\frac{b+7}{\left(b+4\right)\left(b+2\right)}$  

Tags

CCSS.HSA.APR.D.6

 $\frac{x^2+3x-18}{3x+18}\times\frac{x^2+x-90}{x^2+7x-30}$  

•  $3x^2\left(x-9\right)$  

•  $\frac{x-9}{3}$  

•  $\frac{x+7}{60}$  

•  $\left(x-3\right)\left(x+10\right)$  

Tags

CCSS.HSA.APR.D.6

Mathematical Equivalence

OFF

Tags

CCSS.HSA.APR.D.6

 $\frac{8n}{10n^2+40n}\div\frac{n^2+10n+16}{10n^2+20n}$  

•  $\frac{8n}{\left(n+4\right)\left(n+8\right)}$  

•  $80n^2$  

•  $\frac{n-4}{7\left(n-10\right)}$  

•  $\frac{32n^2}{n-3}$  

Tags

CCSS.HSA.APR.D.6

 $\frac{x^2+3x-18}{3x+18}\div\frac{x^2+7x-30}{x^2+x-90}$  

•  $3x^2\left(x-9\right)$  

•  $\frac{x-9}{3}$  

•  $\frac{x+7}{60}$  

•  $\left(x-3\right)\left(x+10\right)$  

Tags

CCSS.HSA.APR.D.6

Write the simplified form of the rational expression

Mathematical Equivalence

ON

Tags

CCSS.HSA.APR.D.6

Mathematical Equivalence

ON

Tags

CCSS.HSA.APR.D.6