Question 881780
{{{ 4/( x+1 ) + (3x) / ( x^2 + x ) }}}
{{{ 4/( x+1 ) + (3x) / ( x*( x+1 ) ) }}}
{{{ 4/( x+1 ) + 3 / ( x+1 ) }}}
{{{ ( 4+3 ) / ( x+1 ) }}}
{{{ 7/( x+1 ) }}}
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A quick way to check is to plug
 in a number for {{{ x }}}
{{{ x = 7 }}}
{{{ 4/( x+1 ) + (3x) / ( x^2 + x ) }}}
{{{ 4/( 7+1 ) + (3*7) / ( 7^2 + 7 ) }}}
{{{ 4/8 + 21/56 }}}
{{{ 28/56 + 21/56 = 49/56 }}}
{{{ 49/56 = 7/8 }}}
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and
{{{ 7/( x+1 ) }}}
{{{ 7/( 7+1 ) }}}
{{{ 7/8 }}}
OK