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

Lösung

erweitern

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

\frac{4 x ^{3}}{3} + 2 x^{2} + x + \frac{1}{6}

Schritte zur Lösung

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

(2 x + 1)^{3} = 8 x^{3} + 12 x^{2} + 6 x + 1

= \frac{8 x ^{3} + 12 x ^{2} + 6 x + 1}{6}

Wende Bruchregel an:

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

\frac{8 x ^{3} + 12 x ^{2} + 6 x + 1}{6} = \frac{8 x ^{3}}{6} + \frac{12 x ^{2}}{6} + \frac{6 x}{6} + \frac{1}{6}

= \frac{8 x ^{3}}{6} + \frac{12 x ^{2}}{6} + \frac{6 x}{6} + \frac{1}{6}

Streiche

\frac{8 x ^{3}}{6} : \frac{4 x ^{3}}{3}

= \frac{4 x ^{3}}{3} + \frac{12 x ^{2}}{6} + \frac{6 x}{6} + \frac{1}{6}

Teile die Zahlen:

\frac{12}{6} = 2

= \frac{4 x ^{3}}{3} + 2 x^{2} + \frac{6 x}{6} + \frac{1}{6}

Teile die Zahlen:

\frac{6}{6} = 1

= \frac{4 x ^{3}}{3} + 2 x^{2} + x + \frac{1}{6}

e x p an d - \frac{x ^{2} - 29 x + 118}{( x + 5 ) ( x - 7 ) ^{2}}

s im pl i f y 7974.4 c + \frac{376800 ( c - 50 )}{c} - 468076.8

e x p an d \frac{6}{5} (1 - e^{- 20 t})

e x p an d \frac{s ( s + 20 )}{11}

e x p an d 3 (e^{x} x + 2 e^{x})