What is expand (1-1/(e^{1/5)})^2 ?

The solution to expand (1-1/(e^{1/5)})^2 is 1-2/(e^{1/5)}+1/(e^{2/5)}

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

expand

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

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

Decimal Notation

0.03285 \dots

Solution steps

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

Apply Perfect Square Formula:

(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}

Simplify

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}}}

(x cos (x)) (cos (x) - x sin (x))

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

(x + 2 i)^{4}

10 (x + Δ x)^{2}

(x + 2 i)^{3}

What is expand (1-1/(e^{1/5)})^2 ?
The solution to expand (1-1/(e^{1/5)})^2 is 1-2/(e^{1/5)}+1/(e^{2/5)}