Question 536623
{{{(m+6)/(m-3) - (m-2)/(m^2-9)}}}

LCD = (m^2-9)

{{{((m+3)(m+6)-(m-2))/(m^2-9)}}}

{{{(m^2+9m+18-m+2)/(m^2-9)}}}

{{{(m^2+8m+20)/(m^2-9)}}}

There is no reason to strike off m^2

your answer is correct