Question

Write 4/x+2 + 3/x-2 as a single fraction in its simplest form

Answer 1

`(4)/(x+2)^((x-2)+ (3)/(x-2) ^((x+2)= \\\\ = (4(x-2)+3(x+2))/((x-2)(x+2))= \\\\ =(4x-8+3x+6)/(x^2-4)= \\\\ =\boxed{(7x-2)/(x^2-4)}`