Question 1113474
{{{ ((x^2-5x+6)/(x^2-4)) * ((x^2+3x+2)/(x^2-2x-3 )) }}}


={{{ ((x^2-2x-3x+6)/((x-2)(x+2))) * ((x^2+x+2x+2)/(x^2+x-3x-3 )) }}}


={{{ (((x^2-2x)-(3x-6))/((x-2)(x+2))) * (((x^2+x)+(2x+2))/((x^2+x)-(3x+3) )) }}}


={{{ ((x(x-2)-3(x-2))/((x-2)(x+2))) * ((x(x+1)+2(x+1))/(x(x+1)-3(x+1)) ) }}}


={{{((x - 2) (x - 3)/((x-2)(x+2))) * (((x+1)(x+2))/((x+1)(x-3) )) }}}

=> restrictions: {{{(x-2)<>0}}}-> {{{x<>2}}},{{{(x+2)<>0}}}-> {{{x<>-2}}},{{{(x+1)<>0}}}-> {{{x<>-1}}}, and {{{(x-3)<>0}}}-> {{{x<>3}}}


={{{(cross((x - 2) )(x - 3)/(cross((x-2))(x+2))) * ((cross((x+1))(x+2))/(cross((x+1))(x-3) )) }}}


={{{(((x - 3)/(x+2))) * (((x+2)/(x-3) )) }}} 


={{{((cross((x - 3)1)/cross((x+2)))) * ((cross((x+2)1)/cross((x-3) )1)) }}}


={{{1/1}}}


={{{1}}}