erweitern (y^3-6y+8)/y

Lösung

erweitern

\frac{y ^{3} - 6 y + 8}{y}

y^{2} - 6 + \frac{8}{y}

Schritte zur Lösung

\frac{y ^{3} - 6 y + 8}{y}

Wende Bruchregel an:

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

\frac{y ^{3} - 6 y + 8}{y} = \frac{y ^{3}}{y} - \frac{6 y}{y} + \frac{8}{y}

= \frac{y ^{3}}{y} - \frac{6 y}{y} + \frac{8}{y}

Streiche

\frac{y ^{3}}{y} : y^{2}

= y^{2} - \frac{6 y}{y} + \frac{8}{y}

Streiche

\frac{6 y}{y} : 6

= y^{2} - 6 + \frac{8}{y}

s im pl i f y (3 + 5 i)^{4}

e x p an d (3 x - 1 + 3 x - 2)^{3}

e x p an d (sec (θ) + tan (θ))^{3} (sec (θ) - tan (θ))^{4}

e x p an d \frac{3 ( x + 2 ) ^{4}}{4} - \frac{5 ( x + 2 ) ^{3}}{3}

e x p an d \frac{x ^{4} - 6 x ^{3} + 12 x ^{2}}{( x ^{2} - 3 x + 4 ) ^{2}}