Question 1151158


{{{x/(x^2+5x+6) - 2/(x^2+3x+2)}}}

{{{x/((x+2)(x+3)) - 2/((x+2)(x+1))}}} ........common denominator for {{{(x+2)(x+3)}}} and {{{(x+2)(x+1)}}} is {{{(x+2)(x+3)(x+1)}}}

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

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

{{{(x^2+x - 2x-6)/((x+3)(x+2)(x+1))}}}

{{{(x^2 - x-6)/((x+3)(x+2)(x+1))}}}

{{{((x + 2) (x - 3))/((x+3)(x+2)(x+1))}}}....simplify

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

{{{ (x - 3)/((x+3)(x+1))}}}  ...for {{{x<>2}}}