Question

please help on this one: find the sum of this rational expression x-1/x-2 + x-6/x^2-4

Answer 1

f (x) = (x - 1)/(x - 2) + (x - 6)/(x^2 - 4)
Common denominator: (x^2 - 4) = (x -2)(x + 2)
Numerator of f(x): (x -1)(x + 2) + x - 6 = x^2 + 2x - 8 = (x - 2)(x + 4)
Denominator of f(x): (x - 2)(x + 2).
After simplification, f(x) = ......