展开 [(x-3)ex]

解答

展开

[(x - 3) e x]

e x^{2} - 3 e x

求解步骤

(x - 3) e x

= e x (x - 3)

使用分配律:

a (b - c) = ab - a c

a = e x, b = x, c = 3

= e xx - e x \cdot 3

= e xx - 3 e x

e xx = e x^{2}

= e x^{2} - 3 e x

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e x p an d (4 y - e^{y} sin (x)) + i (4 y - e^{y} sin (x) + c)