erweitern 3((x-1)(x+3)(x-4))

Lösung

erweitern

3 ((x - 1) (x + 3) (x - 4))

3 x^{3} - 6 x^{2} - 33 x + 36

Schritte zur Lösung

3 ((x - 1) (x + 3) (x - 4))

Entferne die Klammern:

(a) = a

= 3 (x - 1) (x + 3) (x - 4)

Multipliziere aus

(x - 1) (x + 3) : x^{2} + 2 x - 3

= 3 (x^{2} + 2 x - 3) (x - 4)

Multipliziere aus

(x^{2} + 2 x - 3) (x - 4) : x^{3} - 2 x^{2} - 11 x + 12

= 3 (x^{3} - 2 x^{2} - 11 x + 12)

Multipliziere aus

3 (x^{3} - 2 x^{2} - 11 x + 12) : 3 x^{3} - 6 x^{2} - 33 x + 36

= 3 x^{3} - 6 x^{2} - 33 x + 36

e x p an d (x + 1)^{\frac{2}{3}} (3 x^{2} - 2)^{3}

e x p an d \frac{3 x ^{2}}{ln ( 10 ) ( x ^{3} + 1 )}

e x p an d \frac{1}{12} (sin (x^{2}) + cos (x^{2})) (4 + sin (2) x^{2})

e x p an d \frac{x ^{n}}{x ^{8}}

e x p an d \frac{16 ( 3 x ^{2} + 4 )}{( 4 - x ^{2} ) ^{3}}