erweitern-(3(4x^3+6x^2h+4xh^2+h^3))/(x^4(x+h))

Lösung

erweitern

- \frac{3 ( 4 x ^{3} + 6 x ^{2} h + 4 x h ^{2} + h ^{3} )}{x ^{4} ( x + h )}

- \frac{12 x ^{3} + 18 x ^{2} h + 12 x h ^{2} + 3 h ^{3}}{x ^{5} + x ^{4} h}

Schritte zur Lösung

- \frac{3 ( 4 x ^{3} + 6 x ^{2} h + 4 x h ^{2} + h ^{3} )}{x ^{4} ( x + h )}

Multipliziere aus

x^{4} (x + h) : x^{5} + x^{4} h

= - \frac{3 ( 4 x ^{3} + 6 x ^{2} h + 4 x h ^{2} + h ^{3} )}{x ^{5} + x ^{4} h}

Multipliziere aus

3 (4 x^{3} + 6 x^{2} h + 4 x h^{2} + h^{3}) : 12 x^{3} + 18 x^{2} h + 12 x h^{2} + 3 h^{3}

= - \frac{12 x ^{3} + 18 x ^{2} h + 12 x h ^{2} + 3 h ^{3}}{x ^{5} + x ^{4} h}

e x p an d (3 x - 6 + 2)^{2}

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

e x p an d (n + 1) e^{\frac{1}{n}}

e x p an d (3 cos (x) - 2) (2 cos (x) + 1)

e x p an d (1 - ln (π)) π^{x}