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Popular >

expand (e^x-x-1)^2

Solution

expand

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

Solution

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

Solution steps

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

(e^{x} - x - 1)^{2} = (e^{x} - x - 1) (e^{x} - x - 1)

= (- x + e^{x} - 1) (- x + e^{x} - 1)

Expand

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

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

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Frequently Asked Questions (FAQ)

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