化简 (9+\sqrt[3]{k})(81-9\sqrt[3]{k}+k^{2/3})

解答

化简

(9 + 3 k) (81 - 9 3 k + k^{\frac{2}{3}})

- 9 (3 k)^{2} + 9 k^{\frac{2}{3}} + k + 729

求解步骤

(9 + 3 k) (81 - 9 3 k + k^{\frac{2}{3}})

打开括号

= 9 \cdot 81 + 9 (- 9 3 k) + 9 k^{\frac{2}{3}} + 3 k \cdot 81 + 3 k (- 9 3 k) + 3 k k^{\frac{2}{3}}

化简

9 \cdot 81 + 9 (- 9 3 k) + 9 k^{\frac{2}{3}} + 3 k \cdot 81 + 3 k (- 9 3 k) + 3 k k^{\frac{2}{3}} : - 9 (3 k)^{2} + 9 k^{\frac{2}{3}} + k + 729

= - 9 (3 k)^{2} + 9 k^{\frac{2}{3}} + k + 729

e x p an d \frac{( 2 x ^{2} - 4 ) x}{( x + 2 ) ( 10 x ^{2} + 4 x - 5 )}

e x p an d \frac{( 1 + 3 x ) ( 1 + 7 x )}{( 7 - 9 x ) ( 2 - x )}

e x p an d \frac{e ^{0} + cos ( 0 )}{\frac{1}{1 + 0}}

\frac{\partial}{\partial x} ((y) (8 - 4 x^{2} - 2 z^{2}))

e x p an d (a + b F)^{2} \cdot F^{2} \cdot (1 - c F - d F^{2} - e F^{3})