erweitern-(21(x+h)^3)/2

Lösung

erweitern

- \frac{21 ( x + h ) ^{3}}{2}

- \frac{21 x ^{3}}{2} - \frac{63 x ^{2} h}{2} - \frac{63 x h ^{2}}{2} - \frac{21 h ^{3}}{2}

Schritte zur Lösung

- \frac{21 ( x + h ) ^{3}}{2}

(x + h)^{3} = x^{3} + 3 x^{2} h + 3 x h^{2} + h^{3}

= - \frac{21 ( x ^{3} + 3 x ^{2} h + 3 x h ^{2} + h ^{3} )}{2}

Multipliziere aus

21 (x^{3} + 3 x^{2} h + 3 x h^{2} + h^{3}) : 21 x^{3} + 63 x^{2} h + 63 x h^{2} + 21 h^{3}

= - \frac{21 x ^{3} + 63 x ^{2} h + 63 x h ^{2} + 21 h ^{3}}{2}

Wende Bruchregel an:

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

\frac{21 x ^{3} + 63 x ^{2} h + 63 x h ^{2} + 21 h ^{3}}{2} = - (\frac{21 x ^{3}}{2}) - (\frac{63 x ^{2} h}{2}) - (\frac{63 x h ^{2}}{2}) - (\frac{21 h ^{3}}{2})

= - (\frac{21 x ^{3}}{2}) - (\frac{63 x ^{2} h}{2}) - (\frac{63 x h ^{2}}{2}) - (\frac{21 h ^{3}}{2})

Entferne die Klammern:

(a) = a

= - \frac{21 x ^{3}}{2} - \frac{63 x ^{2} h}{2} - \frac{63 x h ^{2}}{2} - \frac{21 h ^{3}}{2}

e x p an d cos (θ - (2 k + 1) π)

e x p an d \frac{2 ( 19 - 8 )}{3}

e x p an d (6 - 2 y - 3 z)^{2} (yz)

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

e x p an d d (62 \cdot 12.45)