erweitern ((x-3)(x+4))/x

Lösung

erweitern

\frac{( x - 3 ) ( x + 4 )}{x}

x + 1 - \frac{12}{x}

Schritte zur Lösung

\frac{( x - 3 ) ( x + 4 )}{x}

Multipliziere aus

(x - 3) (x + 4) : x^{2} + x - 12

= \frac{x ^{2} + x - 12}{x}

Wende Bruchregel an:

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

\frac{x ^{2} + x - 12}{x} = \frac{x ^{2}}{x} + \frac{x}{x} - \frac{12}{x}

= \frac{x ^{2}}{x} + \frac{x}{x} - \frac{12}{x}

Wende Regel an

\frac{a}{a} = 1

\frac{x}{x} = 1

= \frac{x ^{2}}{x} + 1 - \frac{12}{x}

Streiche

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

= x + 1 - \frac{12}{x}

e x p an d e^{t (l n (t) - s)}

e x p an d q (x) (x^{2} - 9 = 0)

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

e x p an d \frac{3 ( 99 + 2 165 )}{277}

e x p an d (a x^{2} + b x) (d cos (x) + e sin (x))