Operations on rational algebraic expressions

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Tags

CCSS.MATH.CONTENT.HSA.APR.D.7

 $\frac{\text{7}}{\text{8y}}\times\ \frac{2}{5y}$  

•  $\frac{9}{13y}$  

•  $\frac{14}{40y^2}$  

•  $\frac{51y}{40y^2}$  

•  $\frac{35y\ +\ 16y}{13y}$  

Simplify the expression

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How confident do you feel simplifying and multiplying rational expressions.

• Totally lost

• Somewhat get it

• Just need more practice

• I got it!

Multiply the two rational expressions and simplify the result:

 $\frac{x^2-4}{x^2-9}\cdot\frac{x-3}{x+2}$  

•  $\frac{x-2}{x+3}$  

•  $\frac{x+2}{x-3}$  

•  $-\frac{2}{3}$  

•  $\frac{x-2}{x-3}$  

Multiply the rational expressions.

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• B.
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• D.

• (v + 9) / 8

• (v - 1) / 8

• 1 / 8

• (v + 9) / 8

My first step will be to change the operator to multiplication and reciprocate the second fraction when...

• Adding

• Subtracting

• Multiplying

• Dividing

Simplify the expression by multiplying:  $\frac{3b^{ }}{b^2}\cdot\frac{b^2}{b^2}=$  

•  $\frac{3b^3}{b^4}$  

•  $9b^2$  

•  $\frac{3}{b}$  

•  $3b^2$