erweitern ((x-2)(x+2)(x-3))/((x+4)(x^2-5x+12))

Lösung

erweitern

\frac{( x - 2 ) ( x + 2 ) ( x - 3 )}{( x + 4 ) ( x ^{2} - 5 x + 12 )}

\frac{x ^{3} - 3 x ^{2} - 4 x + 12}{x ^{3} - x ^{2} - 8 x + 48}

Schritte zur Lösung

\frac{( x - 2 ) ( x + 2 ) ( x - 3 )}{( x + 4 ) ( x ^{2} - 5 x + 12 )}

Multipliziere aus

(x + 4) (x^{2} - 5 x + 12) : x^{3} - x^{2} - 8 x + 48

= \frac{( x - 2 ) ( x + 2 ) ( x - 3 )}{x ^{3} - x ^{2} - 8 x + 48}

Multipliziere aus

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

= \frac{x ^{3} - 3 x ^{2} - 4 x + 12}{x ^{3} - x ^{2} - 8 x + 48}

e x p an d \frac{n ( n - 1 )}{n !}

e x p an d (a, b) (3, - 4)

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

e x p an d t e^{u (t - 1)}

e x p an d so l v e (x^{2} - 4.5 x + 1 = 0)