展开 (-2x+3)(3x^2+5x-1)'

解答

展开

(- 2 x + 3) (3 x^{2} + 5 x - 1)^{'}

- 2 x (3 x^{2} + 5 x - 1)' + 3 (3 x^{2} + 5 x - 1)'

求解步骤

(- 2 x + 3) (3 x^{2} + 5 x - 1)^{'}

使用分配律:

a (b + c) = ab + a c

a = (3 x^{2} + 5 x - 1)^{'}, b = - 2 x, c = 3

= (3 x^{2} + 5 x - 1)^{^{'}} (- 2 x) + (3 x^{2} + 5 x - 1)^{^{'}} 3

使用加减运算法则

+ (- a) = - a

= - 2 x (3 x^{2} + 5 x - 1)^{^{'}} + 3 (3 x^{2} + 5 x - 1)^{^{'}}

e x p an d \frac{( t - 3 ) ^{4}}{4}

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

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

e x p an d ((x - 3) (x - 5) (x - 6)) \cdot 2

e x p an d (1 + i^{^{'}})^{12}