vereinfachen (4-t+it-2i)^2(-1+i)

Lösung

vereinfachen

(4 - t + i t - 2 i)^{2} (- 1 + i)

(2 t^{2} - 8 t + 4) + (28 + 2 t^{2} - 16 t) i

Schritte zur Lösung

(4 - t + i t - 2 i)^{2} (- 1 + i)

Wende das Distributivgesetz an:

a (b + c) = ab + a c

(4 - t + i t - 2 i)^{2} (- 1 + i) = (4 - t + i t - 2 i)^{2} (- 1) + (4 - t + i t - 2 i)^{2} i

= (4 - t + i t - 2 i)^{2} (- 1) + (4 - t + i t - 2 i)^{2} i

Vereinfache

(4 - t + i t - 2 i)^{2} (- 1) + (4 - t + i t - 2 i)^{2} i : 28 i + 2 t^{2} - 8 t + 2 t^{2} i - 16 t i + 4

= 28 i + 2 t^{2} - 8 t + 2 t^{2} i - 16 t i + 4

Rewrite in standard complex form:

(2 t^{2} - 8 t + 4) + (28 + 2 t^{2} - 16 t) i

= (2 t^{2} - 8 t + 4) + (28 + 2 t^{2} - 16 t) i

e x p an d (4 - e^{3 x})^{3}

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

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

e x p an d \frac{a ^{2} ( 5 a c ^{5} - 2 )}{3}

s im pl i f y 6 (\frac{3}{2} + 3 u)