Question

What is the simplified form of the equation (x-1/x-1) x+5/x+1 -x-2/x-1(x+1/x+1)

Answer 1

Answer:

(We already know that: x -1/x-1 = 1 and x + 1/x + 1 = 1 there is no need of keeping them)

  (x-1/x-1) x+5/x+1 -x-2/x-1(x+1/x+1)

= x + 5/x + 1 - x - 2/x - 1

= x²/x + 5/x + x/x - x²/x - 2/x - x/x

= x² + 5 + x - x² - 2 - x

= 5 -2

= 3