erweitern ((19u+4)^2)/(361)

Lösung

erweitern

\frac{( 19 u + 4 ) ^{2}}{361}

u^{2} + \frac{8 u}{19} + \frac{16}{361}

Schritte zur Lösung

\frac{( 19 u + 4 ) ^{2}}{361}

(19 u + 4)^{2} = 361 u^{2} + 152 u + 16

= \frac{361 u ^{2} + 152 u + 16}{361}

Wende Bruchregel an:

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

\frac{361 u ^{2} + 152 u + 16}{361} = \frac{361 u ^{2}}{361} + \frac{152 u}{361} + \frac{16}{361}

= \frac{361 u ^{2}}{361} + \frac{152 u}{361} + \frac{16}{361}

Teile die Zahlen:

\frac{361}{361} = 1

= u^{2} + \frac{152 u}{361} + \frac{16}{361}

Streiche

\frac{152 u}{361} : \frac{8 u}{19}

= u^{2} + \frac{8 u}{19} + \frac{16}{361}

e x p an d \frac{2 x}{( 0.02 - x ) ^{2}}

e x p an d - \frac{π}{30} sin (\frac{π}{90} (x + 20))

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

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

e x p an d l im x \Rightarrow 2 (2 x - 3)