erweitern ((x-5)^2)/9

Lösung

erweitern

\frac{( x - 5 ) ^{2}}{9}

\frac{x ^{2}}{9} - \frac{10 x}{9} + \frac{25}{9}

Schritte zur Lösung

\frac{( x - 5 ) ^{2}}{9}

(x - 5)^{2} = x^{2} - 10 x + 25

= \frac{x ^{2} - 10 x + 25}{9}

Wende Bruchregel an:

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

\frac{x ^{2} - 10 x + 25}{9} = \frac{x ^{2}}{9} - \frac{10 x}{9} + \frac{25}{9}

= \frac{x ^{2}}{9} - \frac{10 x}{9} + \frac{25}{9}

e x p an d (\frac{( 4 x ^{4} - 1 ) ^{2}}{16 x ^{4}}) + 1

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

e x p an d \frac{x + 5}{( x - 3 ) ( x + 1 )}

e x p an d \frac{7 x ( x ^{2} + 9 )}{( 1 + 4 x ^{2} ) ( 4 - 5 x ^{3} )}

e x p an d 12 e^{2 t} \cdot (3 e^{2 t} + 6 t e^{2 t})