SOLUTION: Subtract: (x over x+10) - (3- x2 over x2-100) Please help...

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Question 171908: Subtract:
(x over x+10) - (3- x2 over x2-100)
Please help...

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
(x/(x+10)) - ((3- x^2)/(x^2-100))
------------------------
lcd = x^2-100
Rewrite both fractions with the lcd as denominator:
[x(x-10)]/lcd - [-(x^2-3)]/lcd
Combine the numerators over the lcd:
= [x(x-10)+ (x^2-3)] /lcd
= [x^2-10x+x^2-3]/lcd
= [2x^2-10x-3]/[x^2-100]
=========================

Cheers,
Stan H.

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