展开 (x-x^2)e^x

解答

展开

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

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

求解步骤

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

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

使用分配律:

a (b - c) = ab - a c

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

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

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

e x p an d 10 (\frac{x}{2} - \frac{1}{5} = y)

e x p an d 5 (6 - 43)

s im pl i f y (x) (x^{2} - 1)

e x p an d (x - \frac{1}{x})^{6}