Simplify \(1\times {a}^{n}\) to \({a}^{n}\).
\[{a}^{n}+1+{x}^{n}+{a}^{n}-{x}^{n}\times 2\]
Regroup terms.
\[{a}^{n}+1+{x}^{n}+{a}^{n}-2{x}^{n}\]
Collect like terms.
\[({a}^{n}+{a}^{n})+1+({x}^{n}-2{x}^{n})\]
Simplify.
\[2{a}^{n}+1-{x}^{n}\]
2*a^n+1-x^n