Question 904633


{{{  x^3-5x^2 +7x-3 }}}...write {{{-5x^2}}} as {{{-2x^2-3x^2}}} and {{{7x}}} as {{{x+6x}}}

{{{  x^3-2x^2+x -3x^2+6x-3 }}} ...group


{{{  (x^3-2x^2+x) -(3x^2-6x+3) }}}


{{{  x(x^2-2x+1) -3(x^2-2x+1) }}}


{{{ (x-3) (x^2-2x+1) }}} ...in {{{(x^2-2x+1) }}} write {{{-2x}}} as {{{-x-x}}}

{{{ (x-3) (x^2-x-x+1) }}}

{{{ (x-3) ((x^2-x)-(x-1)) }}}


{{{ (x-3) (x(x-1)-1(x-1)) }}}


{{{ (x-3) (x-1)(x-1) }}}

or, you can put it this way

{{{ (x-3) (x-1)^2 }}}