Question 768989
{{{(x-1)/(x+1) -(x^2-x-6)/(x^2+4x+3)}}}....first factor second term

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

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


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


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


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


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


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


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


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


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


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


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


{{{3/(x+3)}}}