展开 (xe^x-1)e^x

解答

展开

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

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

求解步骤

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

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

使用分配律:

a (b - c) = ab - a c

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

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

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

化简

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

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

e x p an d \frac{( h - 14 ) ( h - 16 )}{8}

e x p an d - \frac{9 + 3 j w}{( 2 j w + 3 ) ( 9 + w ^{2} )}

e x p an d (- 2) (x - y = 10)

e x p an d, 4 x^{2} - 1 + (2 x + 1)^{2} + x (2 x + 1)

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