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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

(2 w^{3} - \frac{5}{w ^{2}})^{5}

(1 + cos^{2} (x))^{2}

\frac{x ^{2} + 9 x - 42}{( x + 1 ) ( x + 6 )}

(x - 13) (x + 13)

(1 + 3 i)^{10}

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