展开 dyx^2(6-x/5)

解答

展开

d y x^{2} (6 - \frac{x}{5})

6 x^{2} d y - \frac{x ^{3} d y}{5}

求解步骤

d y x^{2} (6 - \frac{x}{5})

= x^{2} d y (6 - \frac{x}{5})

使用分配律:

a (b - c) = ab - a c

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

= d y x^{2} \cdot 6 - d y x^{2} \frac{x}{5}

= 6 x^{2} d y - x^{2} \frac{x}{5} d y

x^{2} \frac{x}{5} d y = \frac{x ^{3} d y}{5}

= 6 x^{2} d y - \frac{x ^{3} d y}{5}

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