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Simplify the expression.

 Feb 24, 2018
 #1
avatar+99397 
+1

3. 

 

It's easiest to simplify the numerator and denominator separately

 

1/x^2  -  2/y   =   [ y - 2x^2] / [ x^2y]

 

5/x  - 6/y^2  =  [ 5y^2  - 6x ] / [ xy^2]

 

So we have

 

( [ y - 2x^2] / [ x^2y] )  / (  [ 5y^2  - 6 ] / [ xy^2] )

 

Invert the second fraction and multiply

 

y  - 2x^2              xy^2       

______     *      __________ 

  x^2y                  5y^2 - 6 

 

 

y - 2x^2             xy^2

_______   *  ________

5y^2 - 6            x^2y

 

 

y - 2x^2             y

______   *      ___

5y^2 - 6            x

 

 

y^2  - 2x^2y

__________

5xy^2 - 6x

 

 

 

cool cool cool        

 Feb 24, 2018

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