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

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

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

expand

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

\frac{2 cos ( \frac{πn}{2} )}{π ^{2} n ^{2}} - \frac{2}{π ^{2} n ^{2}}

Solution steps

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

Expand

2 (cos (\frac{πn}{2}) - 1) : 2 cos (\frac{πn}{2}) - 2

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

Apply the fraction rule:

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

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

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

\frac{17 ( P + Ds )}{34 s ^{2} + 17 s + 0.6}

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

(\frac{x}{- 0.08})^{2}

(- 1, 8) y (3, - 4)

((u + 4) - 3) ((u + 4) + 3)

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