Question

Which expression is equal to 2x/x−2−x+5/x+3 ?

A. x^2+11x−6/(x−2)(x+3)

B. x^2+9x+6/(x−2)(x+3)

C. 3x^2+11x+6/(x−2)(x+3)

D. x^2+3x+10/(x−2)(x+3) I think is the correct answer.

Please help, thanks!

Answer 1

x^2+3x+10/(x-2)(x+3)

Explanation:

Just took the test

Answer 2

D is correct

Explanation:

2x/(x-2) - (x+5)/(x+3)

2x(x+3)/(x-2)(x+3) - (x+5)(x-2)/(x+3)(x-2)

2x^2+6x/(x-2)(x+3)-(x^2+3x-10)(x+3)(x-2)

(x^2+3x+10)/(x+3)(x-2)