erweitern ((x-a)^2)/(ax)

Lösung

erweitern

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

\frac{x}{a} - 2 + \frac{a}{x}

Schritte zur Lösung

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

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

= \frac{x ^{2} - 2 a x + a ^{2}}{a x}

Wende Bruchregel an:

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

\frac{x ^{2} - 2 x a + a ^{2}}{a x} = \frac{x ^{2}}{a x} - \frac{2 x a}{a x} + \frac{a ^{2}}{a x}

= \frac{x ^{2}}{a x} - \frac{2 a x}{a x} + \frac{a ^{2}}{a x}

Streiche

\frac{x ^{2}}{a x} : \frac{x}{a}

= \frac{x}{a} - \frac{2 a x}{a x} + \frac{a ^{2}}{a x}

Streiche

\frac{2 x a}{a x} : 2

= \frac{x}{a} - 2 + \frac{a ^{2}}{a x}

Streiche

\frac{a ^{2}}{a x} : \frac{a}{x}

= \frac{x}{a} - 2 + \frac{a}{x}

e x p an d (8 e^{2} + 10 c b)^{3}

\frac{d}{d t} ((x) (2 r (t) - 5 x))

e x p an d 2 (3 x + 2 = 6 x + 4)

e x p an d \frac{f ( x + 2 h ) - 2 x + 5}{4 h}

e x p an d \frac{( 2 - x ) ^{5}}{( x - 9 )}