8.7b - Simplification, Multiplication, and Division

8.7b - Simplification, Multiplication, and Division of Rational Expressions

Simplifying Rational Expressions

When we have only binomials:

 $\frac{24x^3y^5}{36x^5y^2}$ 








 

Multiple Choice

 $Simplify:\ \frac{5a^3c^{10}}{20a^5c^4}$  

•  $\frac{4c^6}{a^2}$  

•  $\frac{1a^2c^6}{4}$  

•  $\frac{1c^6}{4a^2}$  

•  $\frac{1a^2}{4c^6}$  

Simplifying Rational Expressions

When we have binomials and trinomials:

 $\frac{n^2+6n+5}{n+1}$  

Multiple Choice

• A

• B

• C

• D

Multiplying Rational Expressions

 $\frac{4x+8}{x^2-25}\times\frac{5-x}{5x+10}$  

Multiple Choice

• 10 / 14a⁴

• 21 / 49a⁴

• 3 / a⁴

• 3 / 7a⁴

Multiple Choice

• (v + 9) / 8

• (v - 1) / 8

• 1 / 8

• (v + 9) / -8

Multiple Choice

• 5x / 3

• 10x / (x - 8)

• 10x

• 6x(x - 8) / 6x

Dividing Rational Expressions

 $\frac{r-4}{r^2-5r+6}\div\frac{r-3}{r^2-6r+9}$  

Multiple Choice

 $\frac{-2}{3}\div\ \frac{5}{6}$  

•  $\frac{-10}{18}$  

•  $\frac{12}{15}$  

•  $\frac{4}{5}$  

•  $\frac{-4}{5}$  

Multiple Choice

Divide

• 1/6

• x+10/ 6x+60

• x+8/ 6x+60

• (x+10)(x+8)/ 6x+60