展开 (3xy^2+20x^2y^3)dy

解答

展开

(3 x y^{2} + 20 x^{2} y^{3}) d y

3 x y^{2} d y + 20 x^{2} y^{3} d y

求解步骤

(3 x y^{2} + 20 x^{2} y^{3}) d y

使用分配律:

a (b + c) = ab + a c

a = d y, b = 3 x y^{2}, c = 20 x^{2} y^{3}

= d y \cdot 3 x y^{2} + d y \cdot 20 x^{2} y^{3}

= 3 x y^{2} d y + 20 x^{2} y^{3} d y

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

e x p an d \frac{3 ( 10 + 102 )}{14}

e x p an d (x^{42})^{2}

e x p an d 27 \cdot 21

e x p an d \frac{11}{( s - 1 ) ^{3}}