vereinfachen (x+ix^2)^2-2(x+ix^2)(1+2ix)

Lösung

vereinfachen

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

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

Schritte zur Lösung

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

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

2 (x + i x^{2}) (1 + 2 i x) = 2 ((x - 2 x^{3}) + 3 x^{2} i)

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

Rewrite in standard complex form:

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

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

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

e x p an d \frac{100 ( 0.02 x + 4 ) ^{3}}{x}

e x p an d (f \circ g) (2 x - 1) (- x^{2})

e x p an d (a - 12 b) + (- b + 12 a) i

e x p an d - \frac{( 8 x t - w y ) ^{2}}{y ^{2} t ^{2}}