I really need your help in solving this problem. I appreciate your time and efforts. Have a terrific day :) Here is the question:

Question

For each expression, perform the indicated operations and simplify, if possible. Solve each equation and check the result.

Two part question:

A. u^2 +1/u^2-u -u/u-1

B. u^2 +1/u^2-u -u/u-1 = 1/u

Answer 1

I assume you mean

(u^2+1)/(u^2-u) - u/(u-1)
Clearly the LCD is u(u-1)
(u^2+1 - u(u+1)) / u(u-1)
(-u+1) / u(u-1)

Now put both sides over the LCD, throw out u=0,1 and set the numerators equal.
Then solve for u.

What do you get?

Answer 2

I am not sure but I will write all of this down. Thank you Steve.

Yours,

JAY

Answer 3

I'm sure that by now you have figured out that I made an error:

(u^2+1 - u^2) / u(u-1)
1 / u(u-1)

Now set that equal to 1/u

1 / u(u-1) = 1/u
1 = u-1
u = 2

check:
5/2 - 2/1 = 1/2