erweitern ((x-2)^2)/(36)

Lösung

erweitern

\frac{( x - 2 ) ^{2}}{36}

\frac{x ^{2}}{36} - \frac{x}{9} + \frac{1}{9}

Schritte zur Lösung

\frac{( x - 2 ) ^{2}}{36}

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

= \frac{x ^{2} - 4 x + 4}{36}

Wende Bruchregel an:

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

\frac{x ^{2} - 4 x + 4}{36} = \frac{x ^{2}}{36} - \frac{4 x}{36} + \frac{4}{36}

= \frac{x ^{2}}{36} - \frac{4 x}{36} + \frac{4}{36}

Streiche

\frac{4 x}{36} : \frac{x}{9}

= \frac{x ^{2}}{36} - \frac{x}{9} + \frac{4}{36}

Streiche

\frac{4}{36} : \frac{1}{9}

= \frac{x ^{2}}{36} - \frac{x}{9} + \frac{1}{9}

e x p an d ro t a c i o na l (x^{2} y, - 3 x z, 3 x)

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

e x p an d \frac{18 + 12}{6 + 4}

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

e x p an d \frac{1}{2} (x + \frac{π}{4})