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Popular >

expand (x+e^x)^2

Solution

expand

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

Solution

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

Solution steps

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

Apply Perfect Square Formula:

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

a = x, b = e^{x}

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

Apply exponent rule:

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

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

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Frequently Asked Questions (FAQ)

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