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malu5226 malu5226
  • 27-02-2015
  • Mathematics
Answered

Can someone please help me answer this what is 1 over x-5 subtract 19-2x over (x-5)(x+4)

Verified Answer :

Panoyin
Panoyin Panoyin
  • 04-03-2015

\(\frac{1}{x - 5} - \frac{19 - 2x}{(x - 5)(x + 4)}\)
\(\frac{1(x - 5)(x + 4)}{(x - 5)(x + 4)} - \frac{19 - 2x}{x - 5)(x + 4)}\)
\(\frac{1(x^{2} + 4x - 5x - 20) }{ x^{2} + 4x - 5x - 20} - \frac{19 - 2x}{x^{2} + 4x - 5x - 20}\)
\(\frac{ x^{2} - x - 20 }{ x_{2} - x - 20} - \frac{19 - 2x}{ x^{2} - x - 20 }\)
\(\frac{ x^{2} + x + 1}{ x^{2} - x - 20 }\)
\(-x - \frac{1}{20}\)

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