展开 (x^{6/5}+2x)e^x

解答

展开

(x^{\frac{6}{5}} + 2 x) e^{x}

e^{x} x^{\frac{6}{5}} + 2 e^{x} x

求解步骤

(x^{\frac{6}{5}} + 2 x) e^{x}

= e^{x} (x^{\frac{6}{5}} + 2 x)

使用分配律:

a (b + c) = ab + a c

a = e^{x}, b = x^{\frac{6}{5}}, c = 2 x

= e^{x} x^{\frac{6}{5}} + e^{x} \cdot 2 x

= e^{x} x^{\frac{6}{5}} + 2 e^{x} x

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