展开 (u+1)(u)^{1/2}

解答

展开

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

u^{\frac{3}{2}} + u^{\frac{1}{2}}

求解步骤

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

= u^{\frac{1}{2}} (u + 1)

使用分配律:

a (b + c) = ab + a c

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

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

u^{\frac{1}{2}} u = u^{\frac{3}{2}}

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

= u^{\frac{3}{2}} + u^{\frac{1}{2}}

e x p an d \frac{5}{( 1 + 2 x ) ^{2}}

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