Question 656395
{{{ (8x^2/(x^2-9))*((x2 + 6x + 9)/(16x^3)) }}}
{{{ (8x^2/(x^2-9))*(((x + 3)^2)/(16x^3)) }}}
{{{ (8x^2/((x+3)*(x-3)))*(((x + 3)^2)/(16x^3)) }}}
{{{ ((x+3)^2/((x+3)*(x-3)))*(( 8x^2)/(16x^3)) }}}
{{{ ((x+3)/(x-3))*( 1/(2x)) }}}
{{{ ( x + 3 ) / ( 2x^2 - 6x ) }}} answer
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For a quick check, I'll say {{{ x = 2 }}}
{{{ ((8*4) / ( 4-9 ))*( ( 4 + 12 + 9 ) / ( 16*8 ) ) }}}
{{{ ( 32 / (-5) ) * ( 25/128 ) }}}
{{{ (-5)*(32/128) }}}
{{{ -5/4 }}}
and
{{{ ( x + 3 ) / ( 2x^2 - 6x ) }}}
{{{ ( 2 + 3 ) / ( 2x^2 - 6*2 ) }}}
{{{ 5 / ( 8 - 12 ) }}}
{{{ -5/4 }}}
OK