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

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

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expand (2((-1)^n-1))/(pin^2)

expand

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

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

Solution steps

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

Expand

2 ((- 1)^{n} - 1) : 2 (- 1)^{n} - 2

= \frac{2 ( - 1 ) ^{n} - 2}{π n ^{2}}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

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

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

(2 y - \frac{1}{x})^{10}

\frac{( s + 3 )}{s ( s + 1 ) ( s + 2 )}

cos (x) (sec (x) + 3 sin (x))

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

\frac{s ( s + 5 )}{( ( s ^{2} + 1 ) ( s ^{2} + 6 s + 11 ) )}

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