展开 x^{1/2}(4x-4)

解答

展开

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

4 x^{\frac{3}{2}} - x^{\frac{1}{2}} \cdot 4

求解步骤

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

使用分配律:

a (b - c) = ab - a c

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

= x^{\frac{1}{2}} \cdot 4 x - x^{\frac{1}{2}} \cdot 4

化简

x^{\frac{1}{2}} \cdot 4 x : 4 x^{\frac{3}{2}}

= 4 x^{\frac{3}{2}} - x^{\frac{1}{2}} \cdot 4

e x p an d (1 - cos (2 x))^{2}

e x p an d \frac{( 6 x + 5 ) ( 3 y ^{\frac{2}{3}} )}{1 + 3 y ^{\frac{2}{3}}}

e x p an d (1 + cos (x)) cos (x)

e x p an d \frac{z}{( z - 2 ) ( z - 3 ) ( z - 4 )}

e x p an d \frac{- 2 a + 19}{( a - 2 ) ( a + 3 )}