展开 xe^x(2+x)

解答

展开

x e^{x} (2 + x)

2 e^{x} x + e^{x} x^{2}

求解步骤

x e^{x} (2 + x)

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

使用分配律:

a (b + c) = ab + a c

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

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

= 2 e^{x} x + e^{x} xx

e^{x} xx = e^{x} x^{2}

= 2 e^{x} x + e^{x} x^{2}

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\frac{\partial}{\partial s} ((z) (3 r - s))

e x p an d \frac{8 x}{( 5 x ^{2} + 4 ) ^{2}}

s im pl i f y 3 (3 - 17)

e x p an d 7 \times 5