SOLUTION: x/(x^2-100)+7/x in factored form pleaseeeee show work

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Question 643999: x/(x^2-100)+7/x in factored form pleaseeeee show work
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
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Factor x²-100 as (x-10)(x+10)

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The LCD is x(x-10)(x+10)

Multiply the first fraction by  since that is the only
factor of the LCD which the first fraction's denominator does not contain.

Multiply the first fraction by  since they are the factors 
of the LCD which the second fraction's denominator does not contain.

· + ·

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Multiply out the right numerator (not the denominator)

 + 

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Combine both numerators over the LCD:





Since you want everything factored completely,
 factor out 4 in the top:



Edwin
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