展开 e^x*x^2(3+x)

解答

展开

e^{x} \cdot x^{2} (3 + x)

3 e^{x} x^{2} + e^{x} x^{3}

求解步骤

e^{x} x^{2} (3 + x)

使用分配律:

a (b + c) = ab + a c

a = e^{x} x^{2}, b = 3, c = x

= e^{x} x^{2} \cdot 3 + e^{x} x^{2} x

= 3 e^{x} x^{2} + e^{x} x^{2} x

e^{x} x^{2} x = e^{x} x^{3}

= 3 e^{x} x^{2} + e^{x} x^{3}

s im pl i f y (x - x + 1 - 5) (x + x + 1 + 5)

e x p an d \frac{4 ( 2 x \frac{d y}{d x} + y )}{x y}

e x p an d tan (α) (1 - cot^{2} (α)) + cot (α) (1 - tan^{2} (α))

e x p an d \frac{( 1 - 3 x ) ^{2}}{x ^{2} ( x + y ) ( x - 3 )}

e x p an d (yo u a re) (g a y - 1)