Question

Solve the equation.
x+3/x+2-x/x2-4=x/x-2

Answer 1

Denominators are (x + 2) (X^2 - 4) and (x - 2) since x^2 - 4 factors into (x + 2)(x - 2) the common denominator is (x + 2)(x - 2) that is what you multiply each term by.

(x + 2)(x - 2)(x + 3) (x + 2)(x - 2)x (x + 2)(x - 2) x
----------------- - ------------ = -------------
(x + 2) (x + 2)(x - 2) (x - 2)

cancel the denominators into the numerators and tell me what you have left.