Multiply & Divide Rational Expressions

Multiply & Divide Rational Expressions

Essential Question: How can I simplify rational expressions by multiplying and dividing?

​Try to factor EVERYTHING first!

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​Does anything "disappear"?

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​Are you dividing? Flip the 2ND!

​PRO TIPS!

Multiple Choice

$$\frac{2}{x^2+12x+32}\div\frac{2}{5x}$$  

• $$x-8$$  

• $$7$$  

• $$\frac{5x}{\left(x+8\right)\left(x+4\right)}$$  

• $$\frac{x+3}{4\left(x+6\right)}$$  

Multiple Choice

$$\frac{1}{p-8}\cdot\frac{p^2+7p+10}{p+2}$$  

• $$\frac{8}{3}$$  

• $$\frac{p+5}{p-8}$$  

• $$6p^2$$  

• $$\frac{7}{p-8}$$  

Multiple Choice

$$\frac{r^2+9r+18}{r^2-36}\div\frac{r+8}{r-6}$$  

• $$\frac{r+3}{r+8}$$  

• $$\frac{4}{r}$$  

• $$\frac{1}{r-7}$$  

• $$7r$$  

Multiple Choice

$$\frac{m^2-3m-4}{m^2-4m-5}$$  

• $$\frac{3m}{m+1}$$  

• $$\frac{m-2}{m+2}$$  

• $$\frac{m-4}{m-5}$$  

• $$\frac{m-5}{m-4}$$  

Multiple Choice

$$\frac{r^2+r-20}{r^2+7r+10}$$  

• $$\frac{3}{r+2}$$  

• $$\frac{5}{r-3}$$  

• $$\frac{r-4}{r+2}$$  

• $$\frac{r-5}{4r^2}$$  

Multiple Choice

$$\frac{a^2-1}{a^2+a-2}$$  

• $$\frac{a-1}{a-2}$$  

• $$\frac{a-5}{a+5}$$  

• $$\frac{a+1}{a+2}$$  

• $$\frac{3a-1}{2a+5}$$  

Multiple Choice

$$\frac{p+9}{p^2+11p+18}$$  

• $$\frac{1}{p+2}$$  

• $$\frac{10}{5p-4}$$  

• $$\frac{3p}{p+2}$$  

• $$\frac{6p}{3p+1}$$  

Multiple Choice

$$\frac{1}{x-2}\cdot\frac{x^2-x-2}{4}$$  

• $$\frac{4}{5x^2\left(x-5\right)}$$  

• $$\frac{10x^2}{x+6}$$  

• $$\frac{8}{7x}$$  

• $$\frac{x+1}{4}$$  

Poll

How do you feel about this topic?