X^2+2x-8/x^2-4=7/x+2

Question

X^2+2x-8/x^2-4=7/x+2

Answer 1

X² +2x -8 =(x -2)(x +4)
x² -4 =(x -2)(x +2)

(x-2)(x+4) /(x-2)(x+2) =7/(x +2)

(x +4)/(x +2) -7/(x +2) =0

(x +4 -7) /(x +2) =0

x -3 =0

x =3