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

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

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expand ((-1)^{n+1})/((n+1)^2)

expand

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

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

Solution steps

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

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

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

(- 2 + 2 i)^{7}

(x^{2} - x + 4)^{6}

(csc (θ) - tan (θ)) (sin^{2} (θ) + sec (θ) = - \frac{5}{4})

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

(2 x^{6} - 4 x^{2}) sin^{2} (x)

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