展开 x^{1/2}(x^2+1)

解答

展开

x^{\frac{1}{2}} (x^{2} + 1)

x^{\frac{5}{2}} + x^{\frac{1}{2}}

求解步骤

x^{\frac{1}{2}} (x^{2} + 1)

使用分配律:

a (b + c) = ab + a c

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

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

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

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

= x^{\frac{5}{2}} + x^{\frac{1}{2}}

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