erweitern (6-6/(x^5))(x^5-5x^2+3)

Lösung

erweitern

(6 - \frac{6}{x ^{5}}) (x^{5} - 5 x^{2} + 3)

6 x^{5} - 30 x^{2} + 12 + \frac{30}{x ^{3}} - \frac{18}{x ^{5}}

Schritte zur Lösung

(6 - \frac{6}{x ^{5}}) (x^{5} - 5 x^{2} + 3)

Setze Klammern

= 6 x^{5} + 6 (- 5 x^{2}) + 6 \cdot 3 - \frac{6}{x ^{5}} x^{5} - \frac{6}{x ^{5}} (- 5 x^{2}) - \frac{6}{x ^{5}} \cdot 3

Vereinfache

6 x^{5} + 6 (- 5 x^{2}) + 6 \cdot 3 - \frac{6}{x ^{5}} x^{5} - \frac{6}{x ^{5}} (- 5 x^{2}) - \frac{6}{x ^{5}} \cdot 3 : 6 x^{5} - 30 x^{2} + 12 + \frac{30}{x ^{3}} - \frac{18}{x ^{5}}

= 6 x^{5} - 30 x^{2} + 12 + \frac{30}{x ^{3}} - \frac{18}{x ^{5}}

\frac{d ^{2}}{d x ^{2}} ((y) (e^{3 x} - k x))

e x p an d \frac{π ( 1 + 2 )}{2}

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

e x p an d (x^{2} - 3 y^{2} = 7,) - (x^{2} + y = 9)

e x p an d (4 y - t^{2}, (4 - t)^{2}) \cdot (- 1, 4 - 2 t)