展开 (900-0.01xln(x))x

解答

展开

(900 - 0.01 x ln (x)) x

900 x - 0.01 x^{2} ln (x)

求解步骤

(900 - 0.01 x ln (x)) x

= x (900 - 0.01 x ln (x))

使用分配律:

a (b - c) = ab - a c

a = x, b = 900, c = 0.01 x ln (x)

= x \cdot 900 - x \cdot 0.01 x ln (x)

= 900 x - 0.01 xx ln (x)

0.01 xx ln (x) = 0.01 x^{2} ln (x)

= 900 x - 0.01 x^{2} ln (x)

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