Question 759900: 5/x-4 - 3/x+1
Answer by unlockmath(1688)   (Show Source):
You can put this solution on YOUR website! Hello,
In any fraction we need common denominators so with this:
5/x-4 - 3/x+1
Multiply first by (x+1)/x+1) and second multiply by (x-4)/(x-4)to get:
5(x-4) - 3(x+1)/[(x+1)(x-4)]
rewritten as:
(5x-20 - 3x+12)/[(x+1)(x-4)]
simplified to:
2x-8/[(x+1)(x-4)]
Simplified further to:
2(x-4)/[(x+1)(x-4)] or
2/(x+1)
Make sense?
RJ
www.math-unlock.com
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