erweitern 1/3 (x^2+3)^3

Lösung

erweitern

\frac{1}{3} (x^{2} + 3)^{3}

\frac{x ^{6}}{3} + 3 x^{4} + 9 x^{2} + 9

Schritte zur Lösung

\frac{1}{3} (x^{2} + 3)^{3}

Schreibe

(x^{2} + 3)^{3}

um:

x^{6} + 9 x^{4} + 27 x^{2} + 27

= \frac{1}{3} (x^{6} + 9 x^{4} + 27 x^{2} + 27)

Setze Klammern

= \frac{1}{3} x^{6} + \frac{1}{3} \cdot 9 x^{4} + \frac{1}{3} \cdot 27 x^{2} + \frac{1}{3} \cdot 27

Vereinfache

\frac{1}{3} x^{6} + \frac{1}{3} \cdot 9 x^{4} + \frac{1}{3} \cdot 27 x^{2} + \frac{1}{3} \cdot 27 : \frac{x ^{6}}{3} + 3 x^{4} + 9 x^{2} + 9

= \frac{x ^{6}}{3} + 3 x^{4} + 9 x^{2} + 9

e x p an d (0.12256 + 0.74486 i)^{4}

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

e x p an d \frac{40 ( 230 + 23 )}{2299}

e x p an d (5 - x)^{4} d x

e x p an d (24 x^{\frac{1}{2}} - 10 x^{\frac{3}{2}}) d x