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Popular >

expand e^x(x+2)^2

Solution

expand

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

Solution

e^{x} x^{2} + 4 e^{x} x + 4 e^{x}

Solution steps

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

(x + 2)^{2} = x^{2} + 4 x + 4

= e^{x} (x^{2} + 4 x + 4)

Distribute parentheses

= e^{x} x^{2} + e^{x} \cdot 4 x + e^{x} \cdot 4

= e^{x} x^{2} + 4 e^{x} x + 4 e^{x}

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Frequently Asked Questions (FAQ)

What is expand e^x(x+2)^2 ?
The solution to expand e^x(x+2)^2 is e^xx^2+4e^xx+4e^x