What is expand (-xy^2+2x^3-2y+3)dx-(2x+x^2y)dy ?

The solution to expand (-xy^2+2x^3-2y+3)dx-(2x+x^2y)dy is -xy^2dx+2x^3dx-2ydx+3dx-2xdy-x^2ydy

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expand (-xy^2+2x^3-2y+3)dx-(2x+x^2y)dy

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

(23 + 2 i)^{5}

\frac{3}{s ( s ^{2} + 2 s + 5 )}

(3 e + 4) (3 e - 4)

(x + 2) (x + \frac{1}{2})

(x + 23) (x - 23)

What is expand (-xy^2+2x^3-2y+3)dx-(2x+x^2y)dy ?
The solution to expand (-xy^2+2x^3-2y+3)dx-(2x+x^2y)dy is -xy^2dx+2x^3dx-2ydx+3dx-2xdy-x^2ydy