erweitern ((x^3-6x)^2)/6

Lösung

erweitern

\frac{( x ^{3} - 6 x ) ^{2}}{6}

\frac{x ^{6}}{6} - 2 x^{4} + 6 x^{2}

Schritte zur Lösung

\frac{( x ^{3} - 6 x ) ^{2}}{6}

(x^{3} - 6 x)^{2} = x^{6} - 12 x^{4} + 36 x^{2}

= \frac{x ^{6} - 12 x ^{4} + 36 x ^{2}}{6}

Wende Bruchregel an:

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

\frac{x ^{6} - 12 x ^{4} + 36 x ^{2}}{6} = \frac{x ^{6}}{6} - \frac{12 x ^{4}}{6} + \frac{36 x ^{2}}{6}

= \frac{x ^{6}}{6} - \frac{12 x ^{4}}{6} + \frac{36 x ^{2}}{6}

Teile die Zahlen:

\frac{12}{6} = 2

= \frac{x ^{6}}{6} - 2 x^{4} + \frac{36 x ^{2}}{6}

Teile die Zahlen:

\frac{36}{6} = 6

= \frac{x ^{6}}{6} - 2 x^{4} + 6 x^{2}

e x p an d (2 x y - sec^{2} (x)) d x

e x p an d \frac{4}{( s - 3 ) ( s ^{2} + 9 )}

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

e x p an d \frac{7 ( y - 4 )}{6 ( y + 4 )}

e x p an d (6 x y) d x + (4 y + 9 x^{2}) d y