erweitern (1+i)^2(x+iy)

Lösung

erweitern

(1 + i)^{2} (x + i y)

- 2 y + 2 x i

Schritte zur Lösung

(1 + i)^{2} (x + i y)

Schreibe

(1 + i)^{2}

um:

2 i

= 2 i (x + i y)

Wende das Distributivgesetz an:

a (b + c) = ab + a c

2 i (x + i y) = 2 i x + 2 ii y

= 2 i x + 2 ii y

Vereinfache

2 i x + 2 ii y : 2 x i - 2 y

= 2 x i - 2 y

Rewrite in standard complex form:

- 2 y + 2 x i

= - 2 y + 2 x i

e x p an d lo g_{10} (8 \frac{x}{z})

e x p an d \frac{( x ^{2} + 1 ) x ^{2} - 4}{x ^{2}}

e x p an d (x - \frac{2}{3})^{8}

e x p an d \frac{8 x - 2}{( x - 1 ) ^{2} ( x + 2 )}

e x p an d sin^{2} (2 x) \cdot (cot^{2} (x) - tan^{2} (x))