化简 (\sqrt[3]{x}+1)(\sqrt[3]{x}-7sqrt(x)+8)

解答

化简

(3 x + 1) (3 x - 7 x + 8)

(3 x)^{2} - 7 6 x^{5} + 9 3 x - 7 x + 8

求解步骤

(3 x + 1) (3 x - 7 x + 8)

打开括号

= 3 x 3 x + 3 x (- 7 x) + 3 x \cdot 8 + 1 \cdot 3 x + 1 \cdot (- 7 x) + 1 \cdot 8

化简

3 x 3 x + 3 x (- 7 x) + 3 x \cdot 8 + 1 \cdot 3 x + 1 \cdot (- 7 x) + 1 \cdot 8 : (3 x)^{2} - 7 x^{\frac{5}{6}} + 9 3 x - 7 x + 8

= (3 x)^{2} - 7 x^{\frac{5}{6}} + 9 3 x - 7 x + 8

x^{\frac{5}{6}} = 6 x^{5}

= (3 x)^{2} - 7 6 x^{5} + 9 3 x - 7 x + 8

e x p an d 10 [lo g_{10} (\frac{I}{1 0 ^{- 12}})]

e x p an d (2 p - 0.8) (2 p - 0, 5)

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

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

e x p an d \frac{2 x - 5}{( 2 x - 4 ) ( x - 4 ) ( x - 1 )}