expand 2((2(-1)^n-2)/(pi^3n^3)-(2(-1)^n)/(pin))

פתרון

expand

2 (\frac{2 ( - 1 ) ^{n} - 2}{π ^{3} n ^{3}} - \frac{2 ( - 1 ) ^{n}}{πn})

\frac{4 ( - 1 ) ^{n}}{π ^{3} n ^{3}} - \frac{4}{π ^{3} n ^{3}} - \frac{4 ( - 1 ) ^{n}}{πn}

צעדי פתרון

2 (\frac{2 ( - 1 ) ^{n} - 2}{π ^{3} n ^{3}} - \frac{2 ( - 1 ) ^{n}}{πn})

a (b - c) = ab - a c

: פתח סוגריים בעזרת

a = 2, b = \frac{2 ( - 1 ) ^{n} - 2}{π ^{3} n ^{3}}, c = \frac{2 ( - 1 ) ^{n}}{πn}

= 2 \cdot \frac{2 ( - 1 ) ^{n} - 2}{π ^{3} n ^{3}} - 2 \cdot \frac{2 ( - 1 ) ^{n}}{πn}

2 \cdot \frac{2 ( - 1 ) ^{n} - 2}{π ^{3} n ^{3}} - 2 \cdot \frac{2 ( - 1 ) ^{n}}{πn}

פשט את:

\frac{4 ( - 1 ) ^{n}}{π ^{3} n ^{3}} - \frac{4}{π ^{3} n ^{3}} - \frac{4 ( - 1 ) ^{n}}{πn}

= \frac{4 ( - 1 ) ^{n}}{π ^{3} n ^{3}} - \frac{4}{π ^{3} n ^{3}} - \frac{4 ( - 1 ) ^{n}}{πn}

e x p an d (y + 4) - sin^{2} (2 y) + cos^{2} (2 x)

e x p an d \frac{[ x - 1 ]}{[ ( x + 1 ) ( x - 5 ) ( x + 7 ) ]}

e x p an d (2 - 2)^{5}

e x p an d (2 x - y) d x + (y^{2} - x) d y

s im pl i f y \frac{1}{3} cos^{4} (x) + sin (x) (sin (x) - \frac{sin ^{3} ( x )}{3})