erweitern ((3x-2)^4)/4

Lösung

erweitern

\frac{( 3 x - 2 ) ^{4}}{4}

\frac{81 x ^{4}}{4} - 54 x^{3} + 54 x^{2} - 24 x + 4

Schritte zur Lösung

\frac{( 3 x - 2 ) ^{4}}{4}

(3 x - 2)^{4} = 81 x^{4} - 216 x^{3} + 216 x^{2} - 96 x + 16

= \frac{81 x ^{4} - 216 x ^{3} + 216 x ^{2} - 96 x + 16}{4}

Wende Bruchregel an:

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

\frac{81 x ^{4} - 216 x ^{3} + 216 x ^{2} - 96 x + 16}{4} = \frac{81 x ^{4}}{4} - \frac{216 x ^{3}}{4} + \frac{216 x ^{2}}{4} - \frac{96 x}{4} + \frac{16}{4}

= \frac{81 x ^{4}}{4} - \frac{216 x ^{3}}{4} + \frac{216 x ^{2}}{4} - \frac{96 x}{4} + \frac{16}{4}

\frac{216 x ^{3}}{4} = 54 x^{3}

\frac{216 x ^{2}}{4} = 54 x^{2}

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

\frac{16}{4} = 4

= \frac{81 x ^{4}}{4} - 54 x^{3} + 54 x^{2} - 24 x + 4

e x p an d (1 - cos (x))^{4}

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

e x p an d sin^{2} (x) (cot (x) + 1)^{2}

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

e x p an d - (\frac{2 ( 2 s + 11 )}{( s ( s + 5 ) )})