simplify: 1- x^2/ x+1?

Question

Math, simplify

Answer 1

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

the x+1 cancel out
answer is x-1

Answer 2

I believe the answer is:
(1-x^2)/(x+1)
Factor the numerator
(1-x)(1+x)
to check:

(1-x)(1+x) when multiplied you get x-x^2+-x+1
When you add, x and -x cancel each other and you're left with

-x^2+1 or 1-x^2 the numerator.
Using the factored numerator,
[(1-x)(1+x)]/(1+x)
(1+x)/(1+x) = 1
or (x-1)(1)
Simplifying:
1-x

Answer 3

I'm not sure if you are trying to simplify

1 - (x^2/2) + 1

or

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

The former becomes 1 - x + 1 or 2 - x
The latter becomes (1 - x)*(1 + x) / ( 1 + x) or 1 - x

All depends on where the parentheses are.