展开 (x-1)x^{2/3}

解答

展开

(x - 1) x^{\frac{2}{3}}

x^{\frac{5}{3}} - x^{\frac{2}{3}}

求解步骤

(x - 1) x^{\frac{2}{3}}

= x^{\frac{2}{3}} (x - 1)

使用分配律:

a (b - c) = ab - a c

x^{\frac{2}{3}} (x - 1) = x^{\frac{2}{3}} x - x^{\frac{2}{3}} \cdot 1

= x^{\frac{2}{3}} x - x^{\frac{2}{3}} \cdot 1

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

x^{\frac{2}{3}} \cdot 1 = x^{\frac{2}{3}}

= x^{\frac{5}{3}} - x^{\frac{2}{3}}

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