What is expand (2(-3cos((pin)/3)+3))/(pi^2n^2) ?

The solution to expand (2(-3cos((pin)/3)+3))/(pi^2n^2) is -(6cos((pin)/3))/(pi^2n^2)+6/(pi^2n^2)

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expand (2(-3cos((pin)/3)+3))/(pi^2n^2)

expand

\frac{2 ( - 3 cos ( \frac{πn}{3} ) + 3 )}{π ^{2} n ^{2}}

- \frac{6 cos ( \frac{πn}{3} )}{π ^{2} n ^{2}} + \frac{6}{π ^{2} n ^{2}}

Solution steps

\frac{2 ( - 3 cos ( \frac{πn}{3} ) + 3 )}{π ^{2} n ^{2}}

Expand

2 (- 3 cos (\frac{πn}{3}) + 3) : - 6 cos (\frac{πn}{3}) + 6

= \frac{- 6 cos ( \frac{πn}{3} ) + 6}{π ^{2} n ^{2}}

Apply the fraction rule:

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

\frac{- 6 cos ( \frac{πn}{3} ) + 6}{π ^{2} n ^{2}} = - \frac{6 cos ( \frac{πn}{3} )}{π ^{2} n ^{2}} + \frac{6}{π ^{2} n ^{2}}

= - \frac{6 cos ( \frac{πn}{3} )}{π ^{2} n ^{2}} + \frac{6}{π ^{2} n ^{2}}

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

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

\frac{( x + 0.3 )}{( 2 x + 0.4 ) ( 2 x + 0.3 ) ^{3}}

p (- 2, 3) y q (4, - 1)

(2 y^{2} + 9 x) d x + 2 x y d y

What is expand (2(-3cos((pin)/3)+3))/(pi^2n^2) ?
The solution to expand (2(-3cos((pin)/3)+3))/(pi^2n^2) is -(6cos((pin)/3))/(pi^2n^2)+6/(pi^2n^2)