vereinfachen (16-xi)^2

Lösung

vereinfachen

(16 - x i)^{2}

(256 - x^{2}) - 32 x i

Schritte zur Lösung

(16 - x i)^{2}

Wende Formel für perfekte quadratische Gleichungen an:

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

(16 - x i)^{2} = 1 6^{2} - 2 \cdot 16 x i + (x i)^{2}

= 1 6^{2} - 2 \cdot 16 x i + (x i)^{2}

1 6^{2} = 256

- 2 \cdot 16 x i = - 32 x i

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

= 256 - 32 x i - x^{2}

Rewrite in standard complex form:

(256 - x^{2}) - 32 x i

= (256 - x^{2}) - 32 x i

e x p an d (tan (\frac{x}{2}) + cot (x)) sin (x)

e x p an d \frac{( - 1 ) ^{x + 1}}{( 4 x + 5 ) ^{2}}

\frac{\partial}{\partial t} ((z) (s^{2} t - s t^{27}))

e x p an d (a + 1 + x) l e f t (a + 1 - x)

\frac{d ^{2}}{d x ^{2}} ((y) (y^{3} - x y))