SOLUTION: How would you solve this problem, (9x+5)/(2x-2)-(4x+3)(x-1)? I've done it at least 3 times and I can't get it right.

Algebra ->  Rational-functions -> SOLUTION: How would you solve this problem, (9x+5)/(2x-2)-(4x+3)(x-1)? I've done it at least 3 times and I can't get it right.       Log On


   

Question 274001: How would you solve this problem, (9x+5)/(2x-2)-(4x+3)(x-1)? I've done it at least 3 times and I can't get it right.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(9x+5)/(2x-2)-(4x+3)/(x-1)?
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least common denominator: 2(x-1)
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Rewrite each fraction with the lcd as its denominator:
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(9x+5)/lcd - (2(4x+3))/lcd
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Combine the numerators over the lcd:
[9x + 5 - 8x - 6]/lcd
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(x-1)/[2(x-1)]
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Cancel:
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Ans: 1/2
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Cheers,
Stan H.