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mpelayo134 mpelayo134
  • 12-12-2014
  • Mathematics
Answered

\(\frac{1}{x+1} + \frac{4}{x+4} - \frac{5}{x+5
}\)

Verified Answer :

crisforp
crisforp crisforp
  • 13-12-2014

[ ( x + 4 )( x + 5 ) + 4( x + 1 )( x +  5) - 5( x + 1 )( x + 4 ) ] / [( x + 1 )( x +  4)( x + 5 )] = ( x^2 + 9x + 20 + 4x^2 + 24x +20 - 5x^2 - 25x - 20) / [( x + 1 )( x +  4)( x + 5 )] =
( - 2x + 20 ) /  [( x + 1 )( x +  4)( x + 5 )] = ( - 2)( x - 10) / [( x + 1 )( x +  4)( x + 5 )]

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