展开 (\sqrt[3]{x}-3)*(\sqrt[3]{x}+3)^3

解答

展开

(3 x - 3) \cdot (3 x + 3)^{3}

x 3 x - 3 x + 9 (3 x)^{2} 3 x - 54 3 x - 81

求解步骤

(3 x - 3) (3 x + 3)^{3}

= (3 x + 3)^{3} (3 x - 3)

展开

(3 x + 3)^{3} : x + 9 (3 x)^{2} + 27 3 x + 27

= (x + 9 (3 x)^{2} + 27 3 x + 27) (3 x - 3)

打开括号

= x 3 x + x (- 3) + 9 (3 x)^{2} 3 x + 9 (3 x)^{2} (- 3) + 27 3 x 3 x + 27 3 x (- 3) + 27 3 x + 27 (- 3)

化简

x 3 x + x (- 3) + 9 (3 x)^{2} 3 x + 9 (3 x)^{2} (- 3) + 27 3 x 3 x + 27 3 x (- 3) + 27 3 x + 27 (- 3) : x 3 x - 3 x + 9 (3 x)^{2} 3 x - 54 3 x - 81

= x 3 x - 3 x + 9 (3 x)^{2} 3 x - 54 3 x - 81

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

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

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

e x p an d 4 xv d v + (3 v^{2} - 1) d x

e x p an d A (- 1, 1) y B (- 1, - 4)