展开-6x^{5/3}(-2x^{1/2}+3x^{1/3})

解答

展开

- 6 x^{\frac{5}{3}} (- 2 x^{\frac{1}{2}} + 3 x^{\frac{1}{3}})

12 x^{\frac{13}{6}} - 18 x^{2}

求解步骤

- 6 x^{\frac{5}{3}} (- 2 x^{\frac{1}{2}} + 3 x^{\frac{1}{3}})

使用分配律:

a (b + c) = ab + a c

- 6 x^{\frac{5}{3}} (- 2 x^{\frac{1}{2}} + 3 x^{\frac{1}{3}}) = - 6 x^{\frac{5}{3}} (- 2 x^{\frac{1}{2}}) - 6 x^{\frac{5}{3}} \cdot 3 x^{\frac{1}{3}}

= - 6 x^{\frac{5}{3}} (- 2 x^{\frac{1}{2}}) - 6 x^{\frac{5}{3}} \cdot 3 x^{\frac{1}{3}}

- 6 x^{\frac{5}{3}} (- 2 x^{\frac{1}{2}}) = 12 x^{\frac{13}{6}}

6 x^{\frac{5}{3}} \cdot 3 x^{\frac{1}{3}} = 18 x^{2}

= 12 x^{\frac{13}{6}} - 18 x^{2}

s im pl i f y (2 a + b)^{2}

s im pl i f y x (x + 1)

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

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

e x p an d u (1, 2, 3) (- 1, - 2, - 3)