Question 636616
The 1st term is {{{ 2x }}}
{{{ (2x)*( x + 2 ) = 2x^2 + 4x }}}
Subtract this from {{{ 2x^2 - 4x }}}
The result is {{{ -8x }}}
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The 2nd term is {{{ -8 }}}
{{{ -8*( x + 2 ) = -8x - 16 }}}
Subtract this from {{{ -8x + 1 }}}
The result is {{{ 17 }}}
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The answer is {{{ 2x - 8 + 17/( x + 2 ) }}}
check answer:
{{{ ( x + 2 )*( 2x - 8 + 17/( x + 2 )) }}}
{{{ 2x^2 - 8x + 4x - 16 + 17 }}}
{{{ 2x^2 - 4x + 1 }}}
OK