化简 (\sqrt[3]{x}-x)*(\sqrt[3]{x^2}+x\sqrt[3]{x}+x^2)

解答

化简

(3 x - x) \cdot (3 x^{2} + x 3 x + x^{2})

- x^{3} + 3 x^{5} + 3 x 3 x^{2} - x 3 x^{2}

求解步骤

(3 x - x) (3 x^{2} + x 3 x + x^{2})

打开括号

= 3 x 3 x^{2} + 3 x x 3 x + 3 x x^{2} - x 3 x^{2} - xx 3 x - x x^{2}

化简

3 x 3 x^{2} + 3 x x 3 x + 3 x x^{2} - x 3 x^{2} - xx 3 x - x x^{2} : - x^{3} + x^{\frac{5}{3}} + 3 x 3 x^{2} - x 3 x^{2}

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

x^{\frac{5}{3}} = 3 x^{5}

= - x^{3} + 3 x^{5} + 3 x 3 x^{2} - x 3 x^{2}

e x p an d \frac{x - 4}{x - 2}

e x p an d \frac{6 x ^{2} - 10 x + 36}{( x ^{2} + 7 ) ( x - 4 )}

s im pl i f y (s + 0.8 - 0.43 i) (s + 0.8) (s + 0.43 i) (s + 0.6)

e x p an d (θ - cos (θ)) sin (θ)

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