Question 75959
Add or subtract as indicated. Express your result in simplest form
3/ x^2 + 4x +3 – 1/ x^2 – 9 

{{{3/(x^2+4x+3)-1/(x^2-9)}}}
{{{3/((x+1)(x+3))-1/((x+3)(x-3))}}}  
The LCD is (x+1)(x+3)(x-3)  whatever you multiply the bottom by you have to multiply the top by.
{{{3(x-3)/((x+1)(x+3)(x-3))-1(x+1)/((x+1)(x+3)(x-3))}}}
{{{(3(x-3)-1(x+1))/((x+1)(x+3)(x-3))}}}
{{{(3x-9-x-1)/((x+1)(x+3)(x-3))}}}
{{{highlight((2x-10)/((x+1)(x+3)(x-3)))}}}
or {{{highlight(2(x-5)/((x+1)(x+3)(x-3)))}}}
Happy Calculating!!!