erweitern ((4+x^2)^3)/6

Lösung

erweitern

\frac{( 4 + x ^{2} ) ^{3}}{6}

\frac{x ^{6}}{6} + 2 x^{4} + 8 x^{2} + \frac{32}{3}

Schritte zur Lösung

\frac{( 4 + x ^{2} ) ^{3}}{6}

(4 + x^{2})^{3} = 64 + 48 x^{2} + 12 x^{4} + x^{6}

= \frac{64 + 48 x ^{2} + 12 x ^{4} + x ^{6}}{6}

Wende Bruchregel an:

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

\frac{64 + 48 x ^{2} + 12 x ^{4} + x ^{6}}{6} = \frac{64}{6} + \frac{48 x ^{2}}{6} + \frac{12 x ^{4}}{6} + \frac{x ^{6}}{6}

= \frac{64}{6} + \frac{48 x ^{2}}{6} + \frac{12 x ^{4}}{6} + \frac{x ^{6}}{6}

Streiche

\frac{64}{6} : \frac{32}{3}

= \frac{32}{3} + \frac{48 x ^{2}}{6} + \frac{12 x ^{4}}{6} + \frac{x ^{6}}{6}

Teile die Zahlen:

\frac{48}{6} = 8

= \frac{32}{3} + 8 x^{2} + \frac{12 x ^{4}}{6} + \frac{x ^{6}}{6}

Teile die Zahlen:

\frac{12}{6} = 2

= \frac{32}{3} + 8 x^{2} + 2 x^{4} + \frac{x ^{6}}{6}

Rewrite in standard form

= \frac{x ^{6}}{6} + 2 x^{4} + 8 x^{2} + \frac{32}{3}

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

e x p an d \frac{( x - 2 ) ( x - 3 )}{12}

e x p an d (- 2, 4) y (3, - 3)

e x p an d \frac{1}{( x + 3 ) ^{3}}

e x p an d \frac{( 8 x - 3 ) ^{2}}{64}