erweitern (2(n+1)(n-1))/(n^2)

Lösung

erweitern

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

2 - \frac{2}{n ^{2}}

Schritte zur Lösung

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

Multipliziere aus

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

= \frac{2 n ^{2} - 2}{n ^{2}}

Wende Bruchregel an:

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

\frac{2 n ^{2} - 2}{n ^{2}} = \frac{2 n ^{2}}{n ^{2}} - \frac{2}{n ^{2}}

= \frac{2 n ^{2}}{n ^{2}} - \frac{2}{n ^{2}}

Streiche

\frac{2 n ^{2}}{n ^{2}} : 2

= 2 - \frac{2}{n ^{2}}

e x p an d \frac{5 x ^{3} - 3 x ^{2} + 7 x - 3}{( x ^{2} + 1 ) ^{2}}

e x p an d \frac{x ^{3} + x ^{2} + 2 x + 6}{( x ^{2} + 1 ) ^{2}}

e x p an d U (1, 0, - 2) + v (3, 1, - 2)

e x p an d \frac{cos ( x )}{sin ( x )}

s im pl i f y (- 1 + \frac{i}{n})^{3}