Question 698540
{{{ ( x^2  - x - 1 )*( x + 1 ) }}}
{{{  (x*x^2 - x*x - 1*x) + ( 1*x^2 - 1*x - 1*1 ) }}}
{{{ x^3 - x^2 - x + x^2 - x - 1 }}}
{{{ x^3 - 2x - 1 }}} answer
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You can do a quick check by plugging in a number for {{{ x }}}
like, {{{ x = 5 }}}
{{{ x^3 - 2x - 1 }}}
{{{ 5^3 - 2*5 - 1 = 125 - 11 }}}
{{{ 125 - 11 = 114 }}}
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{{{ ( x^2  - x - 1 )*( x + 1 ) }}}
{{{ ( 5^2  - 5 - 1 )*( 5 + 1 ) }}}
{{{ ( 25 - 6 )*6 }}}
{{{ 19*6 = 114 }}}
OK