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Popular >

expand (e^x-x)^2

Solution

expand

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

Solution

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

Solution steps

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

Apply Perfect Square Formula:

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

a = e^{x}, b = x

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

Apply exponent rule:

(a^{b})^{c} = a^{b c}

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

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Frequently Asked Questions (FAQ)

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