erweitern (3((x+1)^2-x^6))/2

Lösung

erweitern

\frac{3 ( ( x + 1 ) ^{2} - x ^{6} )}{2}

- \frac{3 x ^{6}}{2} + \frac{3 x ^{2}}{2} + 3 x + \frac{3}{2}

Schritte zur Lösung

\frac{3 ( ( x + 1 ) ^{2} - x ^{6} )}{2}

Multipliziere aus

(x + 1)^{2} - x^{6} : x^{2} + 2 x + 1 - x^{6}

= \frac{3 ( - x ^{6} + x ^{2} + 2 x + 1 )}{2}

Multipliziere aus

3 (x^{2} + 2 x + 1 - x^{6}) : 3 x^{2} + 6 x + 3 - 3 x^{6}

= \frac{3 x ^{2} + 6 x + 3 - 3 x ^{6}}{2}

Wende Bruchregel an:

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

\frac{3 x ^{2} + 6 x + 3 - 3 x ^{6}}{2} = \frac{3 x ^{2}}{2} + \frac{6 x}{2} + \frac{3}{2} - \frac{3 x ^{6}}{2}

= \frac{3 x ^{2}}{2} + \frac{6 x}{2} + \frac{3}{2} - \frac{3 x ^{6}}{2}

Teile die Zahlen:

\frac{6}{2} = 3

= \frac{3 x ^{2}}{2} + 3 x + \frac{3}{2} - \frac{3 x ^{6}}{2}

Rewrite in standard form

= - \frac{3 x ^{6}}{2} + \frac{3 x ^{2}}{2} + 3 x + \frac{3}{2}

e x p an d - \frac{( x - 1 ) ( 10 x ^{2} - 30 x - 63 )}{10}

s im pl i f y (2 - 4 i)^{8}

e x p an d sec (a) (sec (a) + tan (a))

e x p an d 2 \cdot π (x + y)

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