展开-(x^3+3y^2)dy

解答

展开

- (x^{3} + 3 y^{2}) d y

- x^{3} d y - 3 y^{2} d y

求解步骤

- (x^{3} + 3 y^{2}) d y

使用分配律:

a (b + c) = ab + a c

a = - d y, b = x^{3}, c = 3 y^{2}

= - d y x^{3} + (- d y) \cdot 3 y^{2}

使用加减运算法则

+ (- a) = - a

= - x^{3} d y - 3 y^{2} d y

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

e x p an d l im x \Rightarrow 0 + (1 + x) 7 x

e x p an d \frac{s ^{3} - 7 s ^{2} + 19 s - 17}{( s - 2 ) ^{2} ( s - 3 ) ^{3}}

e x p an d \frac{5 x ^{2} - 7 x}{( z - 1 ) ( z - 2 )}

e x p an d l {e^{t + 3} u (t - 6)}