展开 x^{3/4}(3x-3)

解答

展开

x^{\frac{3}{4}} (3 x - 3)

3 x^{\frac{7}{4}} - x^{\frac{3}{4}} \cdot 3

求解步骤

x^{\frac{3}{4}} (3 x - 3)

使用分配律:

a (b - c) = ab - a c

x^{\frac{3}{4}} (3 x - 3) = x^{\frac{3}{4}} \cdot 3 x - x^{\frac{3}{4}} \cdot 3

= x^{\frac{3}{4}} \cdot 3 x - x^{\frac{3}{4}} \cdot 3

化简

x^{\frac{3}{4}} \cdot 3 x : 3 x^{\frac{7}{4}}

= 3 x^{\frac{7}{4}} - x^{\frac{3}{4}} \cdot 3

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

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

e x p an d (1 - cos (2 x)) (1 - cos (2 x)) (1 - cos (2 x))

e x p an d f (x - 10) (x + 10) d x

s im pl i f y (a + 5)^{2}