vereinfachen (5-3xi)^2

Lösung

vereinfachen

(5 - 3 x i)^{2}

(25 - 9 x^{2}) - 30 x i

Schritte zur Lösung

(5 - 3 x i)^{2}

Wende Formel für perfekte quadratische Gleichungen an:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(5 - 3 x i)^{2} = 5^{2} - 2 \cdot 5 \cdot 3 x i + (3 x i)^{2}

= 5^{2} - 2 \cdot 5 \cdot 3 x i + (3 x i)^{2}

5^{2} = 25

- 2 \cdot 5 \cdot 3 x i = - 30 x i

(3 x i)^{2} = - 9 x^{2}

= 25 - 30 x i - 9 x^{2}

Rewrite in standard complex form:

(25 - 9 x^{2}) - 30 x i

= (25 - 9 x^{2}) - 30 x i

e x p an d - \frac{300 ( - 3 x ^{2} - 25 )}{( x ^{2} - 25 ) ^{3}}

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

s im pl i f y (x - 25) (x + 25)

e x p an d β (x, y + 1)

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