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Popular >

expand (t+2)^2e^t

Solution

expand

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

Solution

e^{t} t^{2} + 4 e^{t} t + 4 e^{t}

Solution steps

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

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

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

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

Distribute parentheses

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

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

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Frequently Asked Questions (FAQ)

What is expand (t+2)^2e^t ?
The solution to expand (t+2)^2e^t is e^tt^2+4e^tt+4e^t