化简 (2\sqrt[3]{x})(5x^4-2/(x^2))

解答

化简

(2 3 x) (5 x^{4} - \frac{2}{x ^{2}})

\frac{2 3 x ( 5 x ^{6} - 2 )}{x ^{2}}

求解步骤

(2 3 x) (5 x^{4} - \frac{2}{x ^{2}})

合并

5 x^{4} - \frac{2}{x ^{2}} : \frac{5 x ^{6} - 2}{x ^{2}}

= 2 3 x \frac{5 x ^{6} - 2}{x ^{2}}

使用分式法则:

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

= \frac{2 3 x ( 5 x ^{6} - 2 )}{x ^{2}}

s im pl i f y (3 (3 x + 1) + 4)^{2}

e x p an d (5 x + y) l e f t (5 x - y)

e x p an d - \frac{7}{3 ( a + h ) + 3}

e x p an d (2 x - \frac{3}{x ^{2}})^{9}

e x p an d \frac{( - x ^{2} + 9 )}{( x ^{2} + 9 ) ^{2}}