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Popular >

expand (x+1)^2e^x

Solution

expand

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

Solution

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

Solution steps

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

(x + 1)^{2} = x^{2} + 2 x + 1

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

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

Distribute parentheses

= e^{x} x^{2} + e^{x} \cdot 2 x + e^{x} \cdot 1

= e^{x} x^{2} + 2 e^{x} x + 1 \cdot e^{x}

Multiply:

1 \cdot e^{x} = e^{x}

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

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Frequently Asked Questions (FAQ)

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