erweitern (1-1/(e^{1/5)})^2

Lösung

erweitern

(1 - \frac{1}{e ^{\frac{1}{5}}})^{2}

1 - \frac{2}{e ^{\frac{1}{5}}} + \frac{1}{e ^{\frac{2}{5}}}

Dezimale

0.03285 \dots

Schritte zur Lösung

(1 - \frac{1}{e ^{\frac{1}{5}}})^{2}

Wende Formel für perfekte quadratische Gleichungen an:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

a = 1, b = \frac{1}{e ^{\frac{1}{5}}}

= 1^{2} - 2 \cdot 1 \cdot \frac{1}{e ^{\frac{1}{5}}} + (\frac{1}{e ^{\frac{1}{5}}})^{2}

Vereinfache

1^{2} - 2 \cdot 1 \cdot \frac{1}{e ^{\frac{1}{5}}} + (\frac{1}{e ^{\frac{1}{5}}})^{2} : 1 - \frac{2}{e ^{\frac{1}{5}}} + \frac{1}{e ^{\frac{2}{5}}}

= 1 - \frac{2}{e ^{\frac{1}{5}}} + \frac{1}{e ^{\frac{2}{5}}}

e x p an d (x cos (x)) (cos (x) - x sin (x))

e x p an d \frac{1}{x ^{3}} (\frac{d y}{d x} - \frac{3}{x} y = x^{4})

s im pl i f y (x + 2 i)^{4}

e x p an d 10 (x + Δ x)^{2}

s im pl i f y (x + 2 i)^{3}