erweitern (4-4(-1)^n)/(pi^3n^3)+(2(-1)^n)/(pin)

Lösung

erweitern

\frac{4 - 4 ( - 1 ) ^{n}}{π ^{3} n ^{3}} + \frac{2 ( - 1 ) ^{n}}{πn}

\frac{4}{π ^{3} n ^{3}} - \frac{4 ( - 1 ) ^{n}}{π ^{3} n ^{3}} + \frac{2 ( - 1 ) ^{n}}{πn}

Schritte zur Lösung

\frac{4 - 4 ( - 1 ) ^{n}}{π ^{3} n ^{3}} + \frac{2 ( - 1 ) ^{n}}{πn}

Wende Bruchregel an:

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

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

= \frac{4}{π ^{3} n ^{3}} - \frac{4 ( - 1 ) ^{n}}{π ^{3} n ^{3}} + \frac{2 ( - 1 ) ^{n}}{πn}

e x p an d π (x^{2} - 16)

e x p an d a sin (\frac{1}{b}) (x - h) + k

e x p an d \frac{x ^{2} + 1}{( x + 1 ) ^{3}}

e x p an d \frac{36 + 2 x ^{2} + 12 x}{x ( x + 6 )}

s im pl i f y (x - 1)^{2} (x + \frac{1}{2})