erweitern ((u-5)^2)/u

Lösung

erweitern

\frac{( u - 5 ) ^{2}}{u}

u - 10 + \frac{25}{u}

Schritte zur Lösung

\frac{( u - 5 ) ^{2}}{u}

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

= \frac{u ^{2} - 10 u + 25}{u}

Wende Bruchregel an:

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

\frac{u ^{2} - 10 u + 25}{u} = \frac{u ^{2}}{u} - \frac{10 u}{u} + \frac{25}{u}

= \frac{u ^{2}}{u} - \frac{10 u}{u} + \frac{25}{u}

Streiche

\frac{u ^{2}}{u} : u

= u - \frac{10 u}{u} + \frac{25}{u}

Streiche

\frac{10 u}{u} : 10

= u - 10 + \frac{25}{u}

e x p an d 2^{\frac{4}{3}}

e x p an d 3 (- 10 + 5)

s im pl i f y 2 (x + \frac{1}{3}) (x + \frac{1}{5}) (x + \frac{1}{4}) (x + \frac{1}{2})

e x p an d (2 x^{3} y^{4} + 5 x) d x + (2 x^{m + 1} y^{n} + y^{3}) d y

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