展开-4(x-2)e^{8x}

解答

展开

- 4 (x - 2) e^{8 x}

- 4 e^{8 x} x + 8 e^{8 x}

求解步骤

- 4 (x - 2) e^{8 x}

= - 4 e^{8 x} (x - 2)

使用分配律:

a (b - c) = ab - a c

a = - 4 e^{8 x}, b = x, c = 2

= - 4 e^{8 x} x - (- 4 e^{8 x}) \cdot 2

使用加减运算法则

- (- a) = a

= - 4 e^{8 x} x + 4 \cdot 2 e^{8 x}

数字相乘:

4 \cdot 2 = 8

= - 4 e^{8 x} x + 8 e^{8 x}

e x p an d 1 - \frac{1}{x ^{2.8 - 1}}

e x p an d n^{\frac{1}{2}} (n^{\frac{3}{2}} + n + 5)

e x p an d lo g_{7} (x) (5 y (3 y + 4))

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

e x p an d \frac{4 x ^{5} + 2 x ^{4} - 4 x ^{3}}{( x + 1 ) ^{2}}