Question 201334
Please  review  to  assure  correct  problem
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3/(-5-x) - x/(x-3)
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just  rearrange  the  first  term,  to  get  better  den
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-3/(x+5) -x /(x-3)
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LCD = (x+5)(x-3)
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[ -3 (x-3) -x(x+5)] / (x+5)(x-3)
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[ -3x +9 -x^2 -5x ] / (x+5)(x-3)
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[ -x^2 -8x +9 ] / (x+5)(x-3)
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[ -1 ( x^2 +8x -9) ] / ( x+5)(x-3)
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[-1 (x-1)(x+9)] / [ (x+5)(x-3) ]
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checking  let  x=0  in  original  and  answer,,,both  = -3/5,,,,ok
doing  same  for  x=1,  both  =  zero,,,ok