erweitern 1/((1-j)^{12)}

Lösung

erweitern

\frac{1}{( 1 - j ) ^{12}}

\frac{1}{1 - 12 j + 66 j ^{2} - 220 j ^{3} + 495 j ^{4} - 792 j ^{5} + 924 j ^{6} - 792 j ^{7} + 495 j ^{8} - 220 j ^{9} + 66 j ^{10} - 12 j ^{11} + j ^{12}}

Schritte zur Lösung

\frac{1}{( 1 - j ) ^{12}}

(1 - j)^{12} = 1 - 12 j + 66 j^{2} - 220 j^{3} + 495 j^{4} - 792 j^{5} + 924 j^{6} - 792 j^{7} + 495 j^{8} - 220 j^{9} + 66 j^{10} - 12 j^{11} + j^{12}

= \frac{1}{1 - 12 j + 66 j ^{2} - 220 j ^{3} + 495 j ^{4} - 792 j ^{5} + 924 j ^{6} - 792 j ^{7} + 495 j ^{8} - 220 j ^{9} + 66 j ^{10} - 12 j ^{11} + j ^{12}}

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

e x p an d 2 (11 - 7)

e x p an d 1 + cos (x) (1 - cos (x))

e x p an d (x - 2) (x - 5) (x - 3) (x + 3)

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