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

The solution to expand (2n+1)/(2(n+1)^2) is (2n+1)/(2n^2+4n+2)

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

expand

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

\frac{2 n + 1}{2 n ^{2} + 4 n + 2}

Solution steps

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

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

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

Expand

2 (n^{2} + 2 n + 1) : 2 n^{2} + 4 n + 2

= \frac{2 n + 1}{2 n ^{2} + 4 n + 2}

\frac{2 ( 2 z - 5 )}{45}

- \frac{- s ^{2} + 4}{( s ^{2} + 4 ) ^{2}} + \frac{s}{s ^{2} + 4}

(x - a^{\frac{1}{3}})^{3}

(4 - \frac{1}{x})^{2}

\frac{720}{( 3 - 1 ) ^{7}} + sin (3 - 1)

What is expand (2n+1)/(2(n+1)^2) ?
The solution to expand (2n+1)/(2(n+1)^2) is (2n+1)/(2n^2+4n+2)