展开 (e^x-1)e^x

解答

展开

(e^{x} - 1) e^{x}

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

求解步骤

(e^{x} - 1) e^{x}

= e^{x} (e^{x} - 1)

使用分配律:

a (b - c) = ab - a c

a = e^{x}, b = e^{x}, c = 1

= e^{x} e^{x} - e^{x} \cdot 1

= e^{x} e^{x} - 1 \cdot e^{x}

化简

e^{x} e^{x} - 1 \cdot e^{x} : e^{2 x} - e^{x}

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

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

e x p an d 3 a - 4 b (a = 2, b = - 3)

e x p an d x^{2} (x - 1) (x - 2) e^{x + s i n (x)}

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

e x p an d 8 ((x - 3) (x - 6))