Question

Perform the indicated operation & simplify.
(9/x-3) + (2x/x+1)
Please show work!!! Thanks:)

Answer 1

is it 9/(x-3) or (9/x)-3??

Answer 2

9/(x-3)
Sorry it wasn't clear..

Answer 3

9 2x
-------- + ----------
x-3 x+1
Do I have it correct including all the signs?

Answer 4

that is correct.

Answer 5

The LCD is (x-3)(x+1)

9(x+1) 2x(x-3)
-------- + --------
(x+1)(x-3) (x+1)(x-3)

9x+9+2x^2-6x
--------------
(x+1)(x-3)

2x^2+3x+9
----------
(x+1)(x-3)

I thought that some of it would cancel but no, that is why I made sure I had it copies correctly you could write the denominator as x^2 - 2x -3 but that really doesn't simplify it any further. The numerator is prime and does not factor.

Answer 6

\[2x ^{2}+3x+9\over(x+1)(x-3)\] is an answer

Answer 7

Yes thank you so much. Turns out that i made a simple mistake, i forgot an x.
Thanks! :D

Answer 8

Glad you figured it out.