erweitern (y^2(8y^{3/2}-y^3))/(24)

Lösung

erweitern

\frac{y ^{2} ( 8 y ^{\frac{3}{2}} - y ^{3} )}{24}

\frac{y ^{\frac{7}{2}}}{3} - \frac{y ^{5}}{24}

Schritte zur Lösung

\frac{y ^{2} ( 8 y ^{\frac{3}{2}} - y ^{3} )}{24}

Multipliziere aus

y^{2} (8 y^{\frac{3}{2}} - y^{3}) : 8 y^{\frac{7}{2}} - y^{5}

= \frac{8 y ^{\frac{7}{2}} - y ^{5}}{24}

Wende Bruchregel an:

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

\frac{8 y ^{\frac{7}{2}} - y ^{5}}{24} = \frac{8 y ^{\frac{7}{2}}}{24} - \frac{y ^{5}}{24}

= \frac{8 y ^{\frac{7}{2}}}{24} - \frac{y ^{5}}{24}

Streiche

\frac{8 y ^{\frac{7}{2}}}{24} : \frac{y ^{\frac{7}{2}}}{3}

= \frac{y ^{\frac{7}{2}}}{3} - \frac{y ^{5}}{24}

e x p an d \frac{( ( x - 25 ) ( x - 30 ) ( x - 35 ) )}{750}

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

e x p an d \frac{( ( 3 x - 4 ) ^{3} )}{( 2 x + 7 ) ^{2}}

e x p an d 2 (y - 4) e^{2}

e x p an d \frac{2 ( Ks + I )}{s ( 5 s + 1 ) + 1.96 ( Ks + I )}