erweitern ((-x+y)^2)/6

Lösung

erweitern

\frac{( - x + y ) ^{2}}{6}

\frac{x ^{2}}{6} - \frac{x y}{3} + \frac{y ^{2}}{6}

Schritte zur Lösung

\frac{( - x + y ) ^{2}}{6}

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

= \frac{x ^{2} - 2 x y + y ^{2}}{6}

Wende Bruchregel an:

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

\frac{x ^{2} - 2 x y + y ^{2}}{6} = \frac{x ^{2}}{6} - \frac{2 x y}{6} + \frac{y ^{2}}{6}

= \frac{x ^{2}}{6} - \frac{2 x y}{6} + \frac{y ^{2}}{6}

Streiche

\frac{2 x y}{6} : \frac{x y}{3}

= \frac{x ^{2}}{6} - \frac{x y}{3} + \frac{y ^{2}}{6}

e x p an d \frac{x - 6}{x ( x - 3 ) ( x + 1 )}

e x p an d L {cos (4 t)} (s + 2)

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

e x p an d \frac{1}{( ( 1 - x ) ( B - x ) ( D - x ) )}

e x p an d (x - π)^{9}