What is expand (1+e^{1/x})^2 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (1+e^{1/x})^2

expand

(1 + e^{\frac{1}{x}})^{2}

1 + 2 e^{\frac{1}{x}} + e^{\frac{2}{x}}

Solution steps

(1 + e^{\frac{1}{x}})^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

= 1 + 2 e^{\frac{1}{x}} + e^{\frac{2}{x}}

1 + \frac{k}{( s + 1 ) ( s ^{2} + s + 1.5 )}

\frac{( ( x + 4 ) ( 6 a + x - 4 ) )}{6}

\frac{\partial}{\partial x} ((z) (z^{3} - 3 x yz))

\frac{1}{( x + 2 ) ( x + 1 )}

(1 - x^{2}) p^{''} (x) - 2 x p^{'} (x)

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