What am I doing wrong second derrivatives?

I'm trying to solve $\frac{d^2}{dx^2}(\frac{x^2}{x-5} )$ but there's one bit I keep getting wrong and I don't understand why. I keep trying to simplify the answer which is $\tfrac{(2x-10)(x-5)^2-2(x-5)(x^2-10x)}{(x-5)^4} $ but in my textbook it is telling me to factor out the common term on top of the fraction like this.

$(x-5)((2x-10)(x-5)-2(x^2-10x))=(2x-10)(x-5)-2(x^2-10x)$ 

But I don't understand how the two are equal.

Answer

Answers can only be viewed under the following conditions:
  1. The questioner was satisfied with and accepted the answer, or
  2. The answer was evaluated as being 100% correct by the judge.
View the answer

1 Attachment

Mathe Mathe
3.3K
The answer is accepted.
Join Matchmaticians Affiliate Marketing Program to earn up to a 50% commission on every question that your affiliated users ask or answer.