What is expand e^{2t}(t-1)(t+2) ?

The solution to expand e^{2t}(t-1)(t+2) is e^{2t}t^2+e^{2t}t-2e^{2t}

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expand e^{2t}(t-1)(t+2)

expand

e^{2 t} (t - 1) (t + 2)

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

Solution steps

e^{2 t} (t - 1) (t + 2)

Expand

(t - 1) (t + 2) : t^{2} + t - 2

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

Expand

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

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

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\frac{d ^{2}}{d x ^{2}} ((y^{2}) (a x^{2} + b x + c x e^{- 3 x}))

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What is expand e^{2t}(t-1)(t+2) ?
The solution to expand e^{2t}(t-1)(t+2) is e^{2t}t^2+e^{2t}t-2e^{2t}