erweitern (x^3+3x-2x^2-6)+i(-2x^2+4x)

Lösung

erweitern

(x^{3} + 3 x - 2 x^{2} - 6) + i (- 2 x^{2} + 4 x)

(x^{3} + 3 x - 2 x^{2} - 6) + (- 2 x^{2} + 4 x) i

Schritte zur Lösung

(x^{3} + 3 x - 2 x^{2} - 6) + i (- 2 x^{2} + 4 x)

Apply rule:

(a) = a

(x^{3} + 3 x - 2 x^{2} - 6) = x^{3} + 3 x - 2 x^{2} - 6

= x^{3} + 3 x - 2 x^{2} - 6 + i (- 2 x^{2} + 4 x)

Schreibe

i (- 2 x^{2} + 4 x)

um:

- 2 x^{2} i + 4 x i

= x^{3} + 3 x - 2 x^{2} - 6 - 2 x^{2} i + 4 x i

Rewrite in standard complex form:

(x^{3} + 3 x - 2 x^{2} - 6) + (- 2 x^{2} + 4 x) i

= (x^{3} + 3 x - 2 x^{2} - 6) + (- 2 x^{2} + 4 x) i

e x p an d in (\frac{e x ^{2}}{y})

s im pl i f y (e^{x i} - cos (x))^{2}

e x p an d (\frac{6}{7} - x)^{5}

\frac{\partial}{\partial x} ((x) (x - 3) (y - 4))

e x p an d f (x) x (2 (y)^{''} - x (y)^{'} = e^{- x})