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

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

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

expand

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

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

Solution steps

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

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

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

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

- \frac{k + 1}{k ( k - 1 )}

\frac{2 e ^{- 2 s}}{s ^{2} ( 4 s + 1 )}

\frac{3 x + 2 + ( 7 x - 1 ) 2}{4}

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

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