Question

Simplify. Be sure to state the restrictions on the variables. \[\frac{u^2-4}{(u-6)(u-2)}=\frac{u+2}{u-6}\]

Answer 1

you canceled out to (u-2)'s right?

Answer 2

As you can see, I have already simplified. I also know that y \(\ne\) 6 but is y \(\ne\) 2 correct, as well?

Answer 3

Oh, yes. (u - 2) was canceled out.

Answer 4

is y u?

Answer 5

Oh! Yeah, sorry. I didn't notice I put two different variables. XD

Answer 6

\[\frac{u^2-4}{(u-6)(u-2)} , u \neq 6 \text{ or } u \neq 2 \\ \]
your simplified version will also have those restrictions

Answer 7

you have done everything here

Answer 8

So, two can not be equal to u as well?

Answer 9

yep

Answer 10

As in, they are both correct answers?

Answer 11

Oh, okay! Thanks!

Answer 12

yep we need u to not b 2 or 6 for the simplified version

Answer 13

like those functions will not be equal if you allowed one to have 2 in the domain but not the other
if that makes sense

Answer 14

A little confusing, but I think I understand. :D

Answer 15

ok :)

Answer 16

Thank you for your help again. :)