化简 (4x^3-(15x^{1/2})/2)x^{1/2}

解答

化简

(4 x^{3} - \frac{15 x ^{\frac{1}{2}}}{2}) x^{\frac{1}{2}}

\frac{( 8 x ^{3} - 15 x ^{\frac{1}{2}} ) x ^{\frac{1}{2}}}{2}

求解步骤

(4 x^{3} - \frac{15 x ^{\frac{1}{2}}}{2}) x^{\frac{1}{2}}

合并

4 x^{3} - \frac{15 x ^{\frac{1}{2}}}{2} : \frac{8 x ^{3} - 15 x ^{\frac{1}{2}}}{2}

= \frac{8 x ^{3} - 15 x ^{\frac{1}{2}}}{2} x^{\frac{1}{2}}

使用分式法则:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{( 8 x ^{3} - 15 x ^{\frac{1}{2}} ) x ^{\frac{1}{2}}}{2}

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

s im pl i f y (2 x - y 3) (2 x + y 3)

e x p an d (z - \frac{1}{z})^{3}

e x p an d l (1 - 3 cos (t))

e x p an d \frac{4 x - 19}{( x + 4 ) ^{2}}