Question

! CHALLENGE!
I bet no one can do this. Problem. If so i will mark him brainliest?! ​

Answer 1

Answer:

Option(J)

Step-by-step explanation:

$Given:\frac{x + 1}{x^3 - x}$

$=\frac{x+1}{x(x^2- 1)}$

$=\frac{x+1}{x(x + 1)(x - 1)}$

$= \frac{1}{x(x-1)}$

$=\frac{1}{x^2 - x}$

Hope it helps!

Answer 2

The first thing you do is simplify the bottom:

x^3 - x

You can take an x out, leaving:

x(x^2 - 1)

"x^2 - 1" is a perfect square, factoring it makes its "(x-1)(x+1)" so:

x(x-1)(x+1) is on the bottom.

The "x+1" on the top of the equation can cancel the "x+1" on the bottom of the equation:

1/x(x-1) remains

Multiply the bottom out again and you are left with your answer:

1/x^2-x