展开 [(x-2)e^x]

解答

展开

[(x - 2) e^{x}]

e^{x} x - 2 e^{x}

求解步骤

(x - 2) e^{x}

= e^{x} (x - 2)

使用分配律:

a (b - c) = ab - a c

a = e^{x}, b = x, c = 2

= e^{x} x - e^{x} \cdot 2

= e^{x} x - 2 e^{x}

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

e x p an d \frac{3 ( 3 t - 2 ) ^{2} ( 3 t - 77 )}{( t - 9 ) ^{3}}

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

e x p an d (4 e^{x} cos (x) - 4 e^{x} sin (x))^{2}

e x p an d - 10 (- 3)