What is expand ((n+1)^2)/(n^2+1) ?

The solution to expand ((n+1)^2)/(n^2+1) is (n^2+2n+1)/(n^2+1)

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expand ((n+1)^2)/(n^2+1)

expand

\frac{( n + 1 ) ^{2}}{n ^{2} + 1}

\frac{n ^{2} + 2 n + 1}{n ^{2} + 1}

Solution steps

\frac{( n + 1 ) ^{2}}{n ^{2} + 1}

(n + 1)^{2} = n^{2} + 2 n + 1

= \frac{n ^{2} + 2 n + 1}{n ^{2} + 1}

(2 u + \frac{2}{3} v)^{2}

\frac{x ^{3} + 2 x ^{2} + 3 x + 2}{( x ^{2} + 1 ) ^{2}}

\frac{( 2 - x ) \times ( - x + 3 )}{( x ^{2} + x + 1 ) ( x - 5 )}

(2 x + \frac{3}{x})^{4}

(2 t + 1) e^{t}

What is expand ((n+1)^2)/(n^2+1) ?
The solution to expand ((n+1)^2)/(n^2+1) is (n^2+2n+1)/(n^2+1)