erweitern (x(16-x)^2)/2

Lösung

erweitern

\frac{x ( 16 - x ) ^{2}}{2}

\frac{x ^{3}}{2} - 16 x^{2} + 128 x

Schritte zur Lösung

\frac{x ( 16 - x ) ^{2}}{2}

(16 - x)^{2} = 256 - 32 x + x^{2}

= \frac{x ( x ^{2} - 32 x + 256 )}{2}

Multipliziere aus

x (256 - 32 x + x^{2}) : 256 x - 32 x^{2} + x^{3}

= \frac{256 x - 32 x ^{2} + x ^{3}}{2}

Wende Bruchregel an:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{256 x - 32 x ^{2} + x ^{3}}{2} = \frac{256 x}{2} - \frac{32 x ^{2}}{2} + \frac{x ^{3}}{2}

= \frac{256 x}{2} - \frac{32 x ^{2}}{2} + \frac{x ^{3}}{2}

Teile die Zahlen:

\frac{256}{2} = 128

= 128 x - \frac{32 x ^{2}}{2} + \frac{x ^{3}}{2}

Teile die Zahlen:

\frac{32}{2} = 16

= 128 x - 16 x^{2} + \frac{x ^{3}}{2}

Rewrite in standard form

= \frac{x ^{3}}{2} - 16 x^{2} + 128 x

s im pl i f y \frac{16}{15000} - 4.9908 (\frac{1}{15000} + \frac{1}{6800})

e x p an d 5 (4 - 7)

s im pl i f y \frac{( 2 - 3 i ) ^{4} ( 1 - i ) ^{3}}{( 5 + i )}

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

e x p an d (x - 0.1) (x - 0.3) (x - 0.5) (x - 0, 8)