erweitern x^2(x-1)(x-2)e^{x+sin(x)}

Lösung

erweitern

x^{2} (x - 1) (x - 2) e^{x + s i n (x)}

e^{x + s i n (x)} x^{4} - 3 e^{x + s i n (x)} x^{3} + 2 e^{x + s i n (x)} x^{2}

Schritte zur Lösung

x^{2} (x - 1) (x - 2) e^{x + s i n (x)}

= e^{x + s i n (x)} x^{2} (x - 1) (x - 2)

Multipliziere aus

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

= x^{2} e^{x + s i n (x)} (x^{2} - 3 x + 2)

Multipliziere aus

x^{2} e^{x + s i n (x)} (x^{2} - 3 x + 2) : e^{x + s i n (x)} x^{4} - 3 e^{x + s i n (x)} x^{3} + 2 e^{x + s i n (x)} x^{2}

= e^{x + s i n (x)} x^{4} - 3 e^{x + s i n (x)} x^{3} + 2 e^{x + s i n (x)} x^{2}

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

e x p an d 8 ((x - 3) (x - 6))

e x p an d (3, - 1, 0) y (2, - 1, 1)

e x p an d \frac{5 ( 18 + 373 )}{49}

e x p an d \frac{5 ( 3 + 7305 )}{6}