Question

br%3E%0A%7D%20" id="TexFormula1" title=" \frac{1}{x+1} + \frac{4}{x+4} - \frac{5}{x+5
} " alt=" \frac{1}{x+1} + \frac{4}{x+4} - \frac{5}{x+5
} " align="absmiddle" class="latex-formula">

Answer 1

[ ( 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 )]