Question

$$\frac{a^{n+1}+x^{n+1}}{a^{n}-x^{n2}}$$

Answer

$$2*a^n+1-x^n$$

Solution


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.
\[2{a}^{n}+1-{x}^{n}\]