展开 (x+e^x)(y)

解答

展开

(x + e^{x}) (y)

x y + e^{x} y

求解步骤

(x + e^{x}) (y)

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

使用分配律:

a (b + c) = ab + a c

a = (y), b = x, c = e^{x}

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

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

去除括号:

(a) = a

= x y + e^{x} y

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

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

e x p an d \frac{( m x ^{3} - 2 ( m - 1 ) x ^{2} - 5 x + 2 )}{( x - 2 )}

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

e x p an d \frac{2 x}{( s - 1 ) ( s ^{2} + 25 )}