展开 x^4(e^xx-e^x)

解答

展开

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

e^{x} x^{5} - e^{x} x^{4}

求解步骤

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

使用分配律:

a (b - c) = ab - a c

a = x^{4}, b = e^{x} x, c = e^{x}

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

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

e^{x} x^{4} x = e^{x} x^{5}

= e^{x} x^{5} - e^{x} x^{4}

e x p an d \frac{2 ( 7 - 19 )}{3}

e x p an d - 2.4 + 0.7 - 11 - 5

e x p an d \frac{( 2 + x ) ^{12}}{4096}

s im pl i f y (x + 10 - 3)^{2}

e x p an d 2 (3 u - \frac{3}{7} v)^{2}