SOLUTION: Simplify the expression: 9/(x-3) - (2x)/(x+1)

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Question 949892: Simplify the expression:
9/(x-3) - (2x)/(x+1)
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify the expression:
9/(x-3) - (2x)/(x+1)
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[9(x+1) - (2x)(x-3)]/[(x-3)(x+1)]
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[9x+9-2x^2+6x)/[x^2-x-3]
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= -[2x^2 - 15x -9]/[x^2-x-3]
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Cheers,
Stan H.
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Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
9%2F%28x-3%29-2x%2F%28x%2B1%29

9%28x%2B1%29%2F%28%28x%2B1%29%28x-3%29%29-2x%28x-3%29%2F%28%28x-3%29%28x%2B1%29%29

%289%28x%2B1%29-2x%28x-3%29%29%2F%28%28x-3%29%28x%2B1%29%29

%289x%2B9-2x%5E2%2B6x%29%2F%28%28x-3%29%28x%2B1%29%29

%28-2x%5E2%2B15x%2B9%29%2F%28%28x-3%29%28x%2B1%29%29

so, this was actually the simplest form
9%2F%28x-3%29-2x%2F%28x%2B1%29