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

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

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

expand

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

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

Solution steps

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

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

Expand

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

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

Expand

d y (2 x + 2 x y) : 2 x d y + 2 y x d y

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

\frac{\partial}{\partial t} ((x) (x^{2} + x t + t^{2} - 1))

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

(10 x + 3) 5 - 2 x^{2} - 9 x

(1 + cot (θ))^{2}

(1 - 3 sin (x))^{2}

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