erweitern (((3y-3))/2)^2

Lösung

erweitern

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

\frac{9 y ^{2}}{4} - \frac{9 y}{2} + \frac{9}{4}

Schritte zur Lösung

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

Wende Exponentenregel an:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 3 y - 3 ) ^{2}}{2 ^{2}}

(3 y - 3)^{2} = 9 y^{2} - 18 y + 9

= \frac{9 y ^{2} - 18 y + 9}{2 ^{2}}

2^{2} = 4

= \frac{9 y ^{2} - 18 y + 9}{4}

Wende Bruchregel an:

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

\frac{9 y ^{2} - 18 y + 9}{4} = \frac{9 y ^{2}}{4} - \frac{18 y}{4} + \frac{9}{4}

= \frac{9 y ^{2}}{4} - \frac{18 y}{4} + \frac{9}{4}

Streiche

\frac{18 y}{4} : \frac{9 y}{2}

= \frac{9 y ^{2}}{4} - \frac{9 y}{2} + \frac{9}{4}

e x p an d - \frac{269 e - 178}{192 ( e - 2 )}

e x p an d (m^{2} - n - 8) - (3 m^{2} + 6 n - 2,)

e x p an d (3 - e^{- t}) (4 + e^{- 2 t})

e x p an d \frac{( n + 1 ) ! ( n + 2 )}{( n - 1 )}

e x p an d \frac{w ( 6 - v )}{z}