Express

1 + 1 – 1
2x x-1 x

as a single algebraic fraction.

Answer:

20) E

1 + 1 – 1
2x x-1 x

Let us do the first part of the problem.

1 + 1 = x – 1 + 2x = 3x-1
2x x-1 2x(x-1) 2x(x-1)

3x-1 – 1 = x(3x-1) – [2x(x-1)]
2x(x-1) x x (2x) (x-1)

3x² – x – 2x² + 2x = x² + x = x (x + 1)
x (2x) (x-1) x (2x) (x-1) x (2x) (x-1)

(x+1)
(2x) (x-1)