How to simplify this algebraic expression

I am slightly stumped on how to simplify the following algebraic expression:
(x+(1+x^2))(x-(1+x^2))

After performing the necessary operations, I have arrived at:
x^4-x^2-2x-1

Next, I have grouped x^4 and x^2 together, and -2x and -1 together, with this result:
x^2(x^2-1) - (2x+1)

Can I simplify this further or am I not even on the right track? Thanks.

I think you have an error in your first step, where the 2x should be -2x^2, and the other terms have sign errors, but i would not expand it.

If you multiply it as (a+b)(a-b)= a^2 -b^2

[x+(1+x^2)] [x-(1+x^2)] = x^2 -(1+x^2)^2

= x^2 -(1+ 2x^2 +x^4)

= -x^4 -x^2 -1

Since you cannot combine these terms, then that is the simplest answer. (You should not try to simplify by factoring).

I hope this helps!