Question

Simiplify.

u^2 - 4 / u^2 - 2u

1.) u + 2, u ≠ 2
2.). u + 2/ u, u ≠ 0
3.). u + 2/ u - 2, u ≠ 2
4.). u + 2/u, u ≠ 2, u ≠ 0

If you could show me how you got the answer I would appreciate it!

Answer 1

Answer: He's correct. I agree with him.

Explanation:

Answer 2

Here's your rational expression:
`(u^2-4)/(u^2-2u)`. The numerator of that expression is the difference of perfect squares, and that factors into (u-2)(u+2). In the denominator, you can pull a u out, leaving u(u-2). When you put those factored expressions into its rational form you have
`((u-2)(u+2))/(u(u-2))`. We have a common term there, u-2 that will cancel out in the numerator and the denominator. When you cross those out, what you're left with is
`(u+2)/(u) ,u \\eq 0`. Hopefully, that is a clear enough explanation.