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Popular >

expand (e+1/e)^2

Solution

expand

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

Solution

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

+1

Decimal Notation

9.52439 \dots

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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