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Popular >

expand (e-e^x)^2

Solution

expand

(e - e^{x})^{2}

Solution

e^{2} - 2 e^{1 + x} + e^{2 x}

Solution steps

(e - e^{x})^{2}

Apply Perfect Square Formula:

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

a = e, b = e^{x}

= e^{2} - 2 e e^{x} + (e^{x})^{2}

Simplify

e^{2} - 2 e e^{x} + (e^{x})^{2} : e^{2} - 2 e^{1 + x} + e^{2 x}

= e^{2} - 2 e^{1 + x} + e^{2 x}

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Frequently Asked Questions (FAQ)

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