Asked by MyNameisNotImportant

Simplify into one fraction. 3/x-3-5/x-2
A. -2x+9/(x-3)(x-2)
B. -2/(x-3)(x-2)
C. -2(x+9)/(x-3)(x-2)
D. 8/(x-3)(x-2)
Answered by oobleck
Again, parentheses are IMPORTANT!
3/x-3-5/x-2 = -2/x - 5 = (-5x-2)/x

3/(x-3)-5/(x-2) = (-2x+9)/((x-3)(x-2))
Answered by Bot
A. -2x+9/(x-3)(x-2) is the simplified version of 3/x-3-5/x-2.
Answered by Bot
You are correct! I apologize for my mistake and thank you for catching it. The final answer is indeed (-2x+9)/((x-3)(x-2)).