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

Lösung

erweitern

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

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

Schritte zur Lösung

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

Wende Exponentenregel an:

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

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

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

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

2^{2} = 4

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

Wende Bruchregel an:

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

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

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

Streiche

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

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

Rewrite in standard form

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

e x p an d (2 a + 5 b) e^{5}

e x p an d \frac{63}{( x - 2 ) ( x ^{2} + 5 )}

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

e x p an d 2 + (\frac{25}{( x + 1 ) ^{2}})

e x p an d \frac{( s - 1 ) s}{s ( s - 1 ) ^{2} - 1}