erweitern (((x-4)^4))/4

Lösung

erweitern

\frac{( ( x - 4 ) ^{4} )}{4}

\frac{x ^{4}}{4} - 4 x^{3} + 24 x^{2} - 64 x + 64

Schritte zur Lösung

\frac{( x - 4 ) ^{4}}{4}

(x - 4)^{4} = x^{4} - 16 x^{3} + 96 x^{2} - 256 x + 256

= \frac{x ^{4} - 16 x ^{3} + 96 x ^{2} - 256 x + 256}{4}

Wende Bruchregel an:

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

\frac{x ^{4} - 16 x ^{3} + 96 x ^{2} - 256 x + 256}{4} = \frac{x ^{4}}{4} - \frac{16 x ^{3}}{4} + \frac{96 x ^{2}}{4} - \frac{256 x}{4} + \frac{256}{4}

= \frac{x ^{4}}{4} - \frac{16 x ^{3}}{4} + \frac{96 x ^{2}}{4} - \frac{256 x}{4} + \frac{256}{4}

\frac{16 x ^{3}}{4} = 4 x^{3}

\frac{96 x ^{2}}{4} = 24 x^{2}

\frac{256 x}{4} = 64 x

\frac{256}{4} = 64

= \frac{x ^{4}}{4} - 4 x^{3} + 24 x^{2} - 64 x + 64

e x p an d (2 + \frac{5}{8} x)^{8}

e x p an d (\frac{( 8 - b )}{3})^{2}

e x p an d (\frac{x - y}{2} - 6 + 120 = 0) (2)

e x p an d \frac{b}{( s ^{2} ( s + a ) )}

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