# Math Help - Simplify double fraction

1. ## Simplify double fraction

Hello, this seems relatively simple but I cant figure it out:

Simplify:

and the second part is to find three values of x that may not be used in the evaluation of the expression?
If possible could you please show steps becuase I have seven more similar ones to do. Thanks Very Much!

2. Hello, celebciti!

Simplify:

and the second part is to find three values of x that may not be used
in the evaluation of the expression.

Multiply top and bottom by the LCD: (x + 1)(x - 1)

. . . . . . . . . . . . 2
(x + 1)(x - 1) . ------ + 1
. . . . . . . . . . . x - 1 . . . . . . . .2(x + 1) + (x + 1)(x - 1)
. . . . . . . . . . ------------- . = . ------------------------------
. . . . . . . . . . . . 1 . . . . . . . . . .(x - 1) + (x + 1)(x - 1)
(x + 1)(x - 1) . ------ + 1
. . - . . - . . . . .x + 1

. . . . . 2x + 2 + x² - 1 . . . . x² + 2x + 1 . . . .(x + 1)(x + 1)
. . = . ------------------- . = . -------------- . = . -----------------
. . . . . .x - 1 + x² - 1 . - . . . x² + x - 2 . . - . .(x - 1)(x + 2)

In the original expression, we see that: .x ≠ 1 and x ≠ -1

In the final form, we see that: .x ≠ -2

3. Since you are not allwed to divide by zero, you have to start by writting the restrictions.