What is expand e^{2t}(t^2-3t+2) ?

The solution to expand e^{2t}(t^2-3t+2) is e^{2t}t^2-3e^{2t}t+2e^{2t}

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expand e^{2t}(t^2-3t+2)

expand

e^{2 t} (t^{2} - 3 t + 2)

e^{2 t} t^{2} - 3 e^{2 t} t + 2 e^{2 t}

Solution steps

e^{2 t} (t^{2} - 3 t + 2)

Distribute parentheses

= e^{2 t} t^{2} + e^{2 t} (- 3 t) + e^{2 t} \cdot 2

Apply minus-plus rules

+ (- a) = - a

= e^{2 t} t^{2} - 3 e^{2 t} t + 2 e^{2 t}

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What is expand e^{2t}(t^2-3t+2) ?
The solution to expand e^{2t}(t^2-3t+2) is e^{2t}t^2-3e^{2t}t+2e^{2t}