Question 936107
{{{(x+4)/(x^2 +4x -12) + (x+6)/(x-2)}}}....factor {{{(x^2 +4x -12)}}}, write {{{4x}}} as {{{-2x+6x}}}


{{{(x+4)/(x^2-2x+6x -12) + (x+6)/(x-2)}}}.........group


{{{(x+4)/((x^2-2x)+(6x -12)) + (x+6)/(x-2)}}}


{{{(x+4)/(x(x-2)+6(x -2)) + (x+6)/(x-2)}}}


{{{(x+4)/((x+6)(x -2)) + (x+6)/(x-2)}}}............common denominator is {{{(x+6)(x -2)}}}


{{{(x+4)/((x+6)(x -2)) + ((x+6)(x+6))/((x+6)(x -2))}}}


{{{(x+4 + (x+6)^2)/(x^2-2x+6x -12)}}}


{{{(x+4 + x^2+12x+36)/(x^2+4x -12)}}}


{{{(x^2+13x+40)/(x^2+4x -12)}}}


answer is: D.