展开 (15-t^2)e^t

解答

展开

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

15 e^{t} - e^{t} t^{2}

求解步骤

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

= e^{t} (15 - t^{2})

使用分配律:

a (b - c) = ab - a c

a = e^{t}, b = 15, c = t^{2}

= e^{t} \cdot 15 - e^{t} t^{2}

= 15 e^{t} - e^{t} t^{2}

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