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

(csc (θ) - cot (θ))^{2}

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(\frac{3}{x} - 2 x^{2})^{3}

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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