展开 (12y^2-6xy^2)dx+(3xy-4x^2)dy

解答

展开

(12 y^{2} - 6 x y^{2}) d x + (3 x y - 4 x^{2}) d y

12 y^{2} d x - 6 y^{2} x d x + 3 y x d y - 4 x^{2} d y

求解步骤

(12 y^{2} - 6 x y^{2}) d x + (3 x y - 4 x^{2}) d y

= (12 y^{2} - 6 y^{2} x) d x + (3 y x - 4 x^{2}) d y

乘开

d x (12 y^{2} - 6 x y^{2}) : 12 y^{2} d x - 6 y^{2} x d x

= 12 y^{2} d x - 6 y^{2} x d x + (3 x y - 4 x^{2}) d y

乘开

d y (3 x y - 4 x^{2}) : 3 y x d y - 4 x^{2} d y

= 12 y^{2} d x - 6 y^{2} x d x + 3 y x d y - 4 x^{2} d y

e x p an d x (x - 1) d x

e x p an d 3 (4 m + 6 n - 2 p)

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

e x p an d 1 + \frac{3}{2 + \frac{4}{1 - \frac{1}{4}}}

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