展开-(4x^4-4x^2+5)(10x^{2/3})

解答

展开

- (4 x^{4} - 4 x^{2} + 5) (10 x^{\frac{2}{3}})

- 40 x^{\frac{14}{3}} + 40 x^{\frac{8}{3}} - 50 x^{\frac{2}{3}}

求解步骤

- (4 x^{4} - 4 x^{2} + 5) (10 x^{\frac{2}{3}})

= - (10 x^{\frac{2}{3}}) (4 x^{4} - 4 x^{2} + 5)

使用分配律:

m (a + b + c) = ma + mb + m c

- (10 x^{\frac{2}{3}}) (4 x^{4} - 4 x^{2} + 5) = - 10 x^{\frac{2}{3}} \cdot 4 x^{4} - 10 x^{\frac{2}{3}} (- 4 x^{2}) - 10 x^{\frac{2}{3}} \cdot 5

= - 10 x^{\frac{2}{3}} \cdot 4 x^{4} - 10 x^{\frac{2}{3}} (- 4 x^{2}) - 10 x^{\frac{2}{3}} \cdot 5

化简

- 10 x^{\frac{2}{3}} \cdot 4 x^{4} - 10 x^{\frac{2}{3}} (- 4 x^{2}) - 10 x^{\frac{2}{3}} \cdot 5 : - 40 x^{\frac{14}{3}} + 40 x^{\frac{8}{3}} - 50 x^{\frac{2}{3}}

= - 40 x^{\frac{14}{3}} + 40 x^{\frac{8}{3}} - 50 x^{\frac{2}{3}}

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

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

e x p an d, (60 + \frac{r}{3} - (30 + r))

s im pl i f y x + 3 f (\frac{x ^{2}}{3} - 11)

e x p an d 39 (32 - 321)