Express (4x)/(x^2-9) - (2)/(x+3) as a single fraction in its simplest form.

First we must expand the demoninator to; (x+3)(x-3)Then we can multiply the left hand fraction on top and bottom by (x-3) to get a common demoninatorthis gives us; (4x)/((x+3)(x-3)) - ((2)(x-3))/((x+3)(x-3))simplyfy the top to get; (2x+6)/((x+3)(x-3))the numerator then can be expanded to give; (2(x+3))/((x+3)(x-3))The (x+3) cancels on top and bottom to give us the final answer; 2/(x-3)