What is expand xydx-(x^2+2y^2)dy ?

The solution to expand xydx-(x^2+2y^2)dy is xydx-x^2dy-2y^2dy

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expand xydx-(x^2+2y^2)dy

expand

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

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

Solution steps

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

Expand

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

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

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What is expand xydx-(x^2+2y^2)dy ?
The solution to expand xydx-(x^2+2y^2)dy is xydx-x^2dy-2y^2dy