展开 b^2(b^{1/2}-b^{1/4})

解答

展开

b^{2} (b^{\frac{1}{2}} - b^{\frac{1}{4}})

b^{\frac{5}{2}} - b^{\frac{9}{4}}

求解步骤

b^{2} (b^{\frac{1}{2}} - b^{\frac{1}{4}})

使用分配律:

a (b - c) = ab - a c

b^{2} (b^{\frac{1}{2}} - b^{\frac{1}{4}}) = b^{2} b^{\frac{1}{2}} - b^{2} b^{\frac{1}{4}}

= b^{2} b^{\frac{1}{2}} - b^{2} b^{\frac{1}{4}}

b^{2} b^{\frac{1}{2}} = b^{\frac{5}{2}}

b^{2} b^{\frac{1}{4}} = b^{\frac{9}{4}}

= b^{\frac{5}{2}} - b^{\frac{9}{4}}

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