erweitern (x^2(x+2z))/(z*y)

Lösung

erweitern

\frac{x ^{2} ( x + 2 z )}{z \cdot y}

\frac{x ^{3}}{zy} + \frac{2 x ^{2}}{y}

Schritte zur Lösung

\frac{x ^{2} ( x + 2 z )}{zy}

Multipliziere aus

x^{2} (x + 2 z) : x^{3} + 2 x^{2} z

= \frac{x ^{3} + 2 x ^{2} z}{zy}

Wende Bruchregel an:

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

\frac{x ^{3} + 2 x ^{2} z}{zy} = \frac{x ^{3}}{zy} + \frac{2 x ^{2} z}{zy}

= \frac{x ^{3}}{zy} + \frac{2 x ^{2} z}{zy}

Streiche

\frac{2 x ^{2} z}{zy} : \frac{2 x ^{2}}{y}

= \frac{x ^{3}}{zy} + \frac{2 x ^{2}}{y}

e x p an d so l v e (2 x^{2} + 9 x - 5 = 0)

e x p an d \frac{9 x ^{3}}{( x - 6 ) ^{2}}

e x p an d \frac{3 ( x + 1 )}{x [ 2 ]}

e x p an d 5 - (9 x + 5 = 3 - x)

e x p an d (a + b) (c + d) (e + f) (g + h)