erweitern ((n-v)^2)/v

Lösung

erweitern

\frac{( n - v ) ^{2}}{v}

\frac{n ^{2}}{v} - 2 n + v

Schritte zur Lösung

\frac{( n - v ) ^{2}}{v}

(n - v)^{2} = n^{2} - 2 n v + v^{2}

= \frac{n ^{2} - 2 n v + v ^{2}}{v}

Wende Bruchregel an:

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

\frac{n ^{2} - 2 n v + v ^{2}}{v} = \frac{n ^{2}}{v} - \frac{2 n v}{v} + \frac{v ^{2}}{v}

= \frac{n ^{2}}{v} - \frac{2 n v}{v} + \frac{v ^{2}}{v}

Streiche

\frac{2 n v}{v} : 2 n

= \frac{n ^{2}}{v} - 2 n + \frac{v ^{2}}{v}

Streiche

\frac{v ^{2}}{v} : v

= \frac{n ^{2}}{v} - 2 n + v

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

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

e x p an d \frac{( 3 x - 11 ) ^{2}}{64}

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