What is expand (y^2-2xy+6)dx-(x^2-2xy+2)dy ?

The solution to expand (y^2-2xy+6)dx-(x^2-2xy+2)dy is y^2dx-2yxdx+6dx-x^2dy+2yxdy-2dy

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expand (y^2-2xy+6)dx-(x^2-2xy+2)dy

expand

(y^{2} - 2 x y + 6) d x - (x^{2} - 2 x y + 2) d y

y^{2} d x - 2 y x d x + 6 d x - x^{2} d y + 2 y x d y - 2 d y

Solution steps

(y^{2} - 2 x y + 6) d x - (x^{2} - 2 x y + 2) d y

= (y^{2} - 2 y x + 6) d x - (x^{2} - 2 y x + 2) d y

Expand

d x (y^{2} - 2 x y + 6) : y^{2} d x - 2 y x d x + 6 d x

= y^{2} d x - 2 y x d x + 6 d x - (x^{2} - 2 x y + 2) d y

Expand

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

= y^{2} d x - 2 y x d x + 6 d x - x^{2} d y + 2 y x d y - 2 d y

(- 1 + 2 i)^{4}

(3 + i)^{4}

(3 x + 2 y = 2,) (x - y = 9)

(x + 3)^{2}

What is expand (y^2-2xy+6)dx-(x^2-2xy+2)dy ?
The solution to expand (y^2-2xy+6)dx-(x^2-2xy+2)dy is y^2dx-2yxdx+6dx-x^2dy+2yxdy-2dy