展开 (x^3e^{9x}+2)x

解答

展开

(x^{3} e^{9 x} + 2) x

e^{9 x} x^{4} + 2 x

求解步骤

(x^{3} e^{9 x} + 2) x

= x (e^{9 x} x^{3} + 2)

使用分配律:

a (b + c) = ab + a c

a = x, b = x^{3} e^{9 x}, c = 2

= x x^{3} e^{9 x} + x \cdot 2

= e^{9 x} x^{3} x + 2 x

e^{9 x} x^{3} x = e^{9 x} x^{4}

= e^{9 x} x^{4} + 2 x

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