erweitern ((-2n+k)^2)/(4n^2)

Lösung

erweitern

\frac{( - 2 n + k ) ^{2}}{4 n ^{2}}

1 - \frac{k}{n} + \frac{k ^{2}}{4 n ^{2}}

Schritte zur Lösung

\frac{( - 2 n + k ) ^{2}}{4 n ^{2}}

(- 2 n + k)^{2} = 4 n^{2} - 4 nk + k^{2}

= \frac{4 n ^{2} - 4 nk + k ^{2}}{4 n ^{2}}

Wende Bruchregel an:

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

\frac{4 n ^{2} - 4 nk + k ^{2}}{4 n ^{2}} = \frac{4 n ^{2}}{4 n ^{2}} - \frac{4 nk}{4 n ^{2}} + \frac{k ^{2}}{4 n ^{2}}

= \frac{4 n ^{2}}{4 n ^{2}} - \frac{4 nk}{4 n ^{2}} + \frac{k ^{2}}{4 n ^{2}}

Wende Regel an

\frac{a}{a} = 1

\frac{4 n ^{2}}{4 n ^{2}} = 1

= 1 - \frac{4 nk}{4 n ^{2}} + \frac{k ^{2}}{4 n ^{2}}

Streiche

\frac{4 nk}{4 n ^{2}} : \frac{k}{n}

= 1 - \frac{k}{n} + \frac{k ^{2}}{4 n ^{2}}

e x p an d \frac{π ( 11 - x ) ^{2}}{2}

e x p an d f (t, x) (t = 2 + 4 e^{- 2 x})

e x p an d - (q V - r) \Rightarrow - (p V - p)

e x p an d \frac{( 3 ( x - h ) ^{2} - 3 x ^{3} )}{h}

e x p an d 1 - \frac{a ^{1}}{a ^{2}}