What is expand e^t(t^2+2t-2) ?

The solution to expand e^t(t^2+2t-2) is e^tt^2+2e^tt-2e^t

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expand e^t(t^2+2t-2)

expand

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

e^{t} t^{2} + 2 e^{t} t - 2 e^{t}

Solution steps

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

Distribute parentheses

= e^{t} t^{2} + e^{t} \cdot 2 t + e^{t} (- 2)

Apply minus-plus rules

+ (- a) = - a

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

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