erweitern ((x-2)^2)/(16)

Lösung

erweitern

\frac{( x - 2 ) ^{2}}{16}

\frac{x ^{2}}{16} - \frac{x}{4} + \frac{1}{4}

Schritte zur Lösung

\frac{( x - 2 ) ^{2}}{16}

(x - 2)^{2} = x^{2} - 4 x + 4

= \frac{x ^{2} - 4 x + 4}{16}

Wende Bruchregel an:

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

\frac{x ^{2} - 4 x + 4}{16} = \frac{x ^{2}}{16} - \frac{4 x}{16} + \frac{4}{16}

= \frac{x ^{2}}{16} - \frac{4 x}{16} + \frac{4}{16}

Streiche

\frac{4 x}{16} : \frac{x}{4}

= \frac{x ^{2}}{16} - \frac{x}{4} + \frac{4}{16}

Streiche

\frac{4}{16} : \frac{1}{4}

= \frac{x ^{2}}{16} - \frac{x}{4} + \frac{1}{4}

e x p an d 5 (3 + 9)

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

e x p an d \frac{2 ( 5 s + 11 )}{( s + 7 - j \cdot 24 ) ( s + 7 + j \cdot 24 )}

e x p an d \frac{1}{2 ( x - 5 ) ^{2}}

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