Question 358606
Find a common denominator.
{{{x^2+6x+8=(x+2)(x+4)}}}
{{{x^2+2x-8=(x-2)(x+4)}}}
LCD={{{(x+2)(x-2)(x+4)}}}
{{{(2x+9)/(x^2+6x+8) +  (x+3)/(x^2+2x-8)=((2x+9)(x-2))/((x-2)(x+2)(x+4))+((x+3)(x+2))/((x-2)(x+2)(x+4))}}}

{{{(2x+9)/(x^2+6x+8) +  (x+3)/(x^2+2x-8)=((2x+9)(x-2)+(x+3)(x+2))/((x-2)(x+2)(x+4))}}}
{{{(2x+9)/(x^2+6x+8) +  (x+3)/(x^2+2x-8)=((2x^2-4x+9x-18)+(x^2+2x+3x+6))/((x-2)(x+2)(x+4))}}}
{{{(2x+9)/(x^2+6x+8) +  (x+3)/(x^2+2x-8)=highlight((3x^2+10x-12)/((x-2)(x+2)(x+4)))}}}