展开 5x^{2/3}(8x-4x^{1/4})

解答

展开

5 x^{\frac{2}{3}} (8 x - 4 x^{\frac{1}{4}})

40 x^{\frac{5}{3}} - 20 x^{\frac{11}{12}}

求解步骤

5 x^{\frac{2}{3}} (8 x - 4 x^{\frac{1}{4}})

使用分配律:

a (b - c) = ab - a c

5 x^{\frac{2}{3}} (8 x - 4 x^{\frac{1}{4}}) = 5 x^{\frac{2}{3}} \cdot 8 x - 5 x^{\frac{2}{3}} \cdot 4 x^{\frac{1}{4}}

= 5 x^{\frac{2}{3}} \cdot 8 x - 5 x^{\frac{2}{3}} \cdot 4 x^{\frac{1}{4}}

5 x^{\frac{2}{3}} \cdot 8 x = 40 x^{\frac{5}{3}}

5 x^{\frac{2}{3}} \cdot 4 x^{\frac{1}{4}} = 20 x^{\frac{11}{12}}

= 40 x^{\frac{5}{3}} - 20 x^{\frac{11}{12}}

s im pl i f y sec^{2} (5 x) + 3 (x - 1)^{2} - \frac{2}{3 x}

e x p an d (3 (t + 1), - 6 (t - 1)) \cdot (- 4 (t + 1), 2 (t - 1))

s im pl i f y (5 x - 3)^{2}

e x p an d lo g_{6} (4)

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