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Divission of rational expressions

 

Divide and simplify the following expression.

 

x^2-49/x ÷ x+7/x-7

 Nov 17, 2015

Best Answer 

 #1
avatar+6251 
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Divide and simplify the following expression.

 

x^2-49/x ÷ x+7/x-7

 

\(\dfrac{\frac{x^2-49}{x}}{\frac{x+7}{x-7}}=\dfrac{x^2-49}{x}\dfrac{x-7}{x+7}=\) 

 

\(\dfrac{(x-7)(x+7)(x-7)}{x(x+7)}=\dfrac{(x-7)^2}{x}\)

 Nov 17, 2015
 #1
avatar+6251 
+10
Best Answer

Divide and simplify the following expression.

 

x^2-49/x ÷ x+7/x-7

 

\(\dfrac{\frac{x^2-49}{x}}{\frac{x+7}{x-7}}=\dfrac{x^2-49}{x}\dfrac{x-7}{x+7}=\) 

 

\(\dfrac{(x-7)(x+7)(x-7)}{x(x+7)}=\dfrac{(x-7)^2}{x}\)

Rom Nov 17, 2015

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