展开 (3e^x)(24x^7-18x)

解答

展开

(3 e^{x}) (24 x^{7} - 18 x)

72 e^{x} x^{7} - 54 e^{x} x

求解步骤

(3 e^{x}) (24 x^{7} - 18 x)

使用分配律:

a (b - c) = ab - a c

a = (3 e^{x}), b = 24 x^{7}, c = 18 x

= (3 e^{x}) \cdot 24 x^{7} - (3 e^{x}) \cdot 18 x

= 24 x^{7} (3 e^{x}) - 18 x (3 e^{x})

化简

24 x^{7} (3 e^{x}) - 18 x (3 e^{x}) : 72 e^{x} x^{7} - 54 e^{x} x

= 72 e^{x} x^{7} - 54 e^{x} x

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