Question 64574
{{{5x/(x^2-x-6)  -  4/(x^2+4x+4)}}}
Factorise the expressions on the bottom of the fractions.
{{{5x/(x-3)(x+2)  -  4/((x+2)(x+2))}}} 
The common factor on the bottom will be (x-3)(x+2)(x+2). Multiply the first term by (x+2)/(x+2). Multiply the second term by (x-3)/(x-3). This will rewrite both terms so they are over the common denominator.
{{{5x(x+2)/((x-3)(x+2)(x+2))  -  4(x-3)/((x-3)(x+2)(x+2))}}} 
Multiply out the top parts of the problem
{{{(5x2+10x)/((x-3)(x+2)(x+2))  -  (4x-12)/((x-3)(x+2)(x+2))}}} 
Rewrite over the common denominator
{{{(5x2+10x -(4x-12))/((x-3)(x+2)(x+2))}}} 
{{{(5x2+10x - 4x+12)/((x-3)(x+2)(x+2))}}}
{{{(5x2+6x+12)/((x-3)(x+2)(x+2))}}}