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

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

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

expand

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

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

Solution steps

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

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

Expand

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

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

\frac{\frac{d}{d x} ( 3 )}{2 ( 2 x ^{4} + 5 x ^{2} + 3 ) ^{4}}

5 \cdot \frac{1}{4} + (0.01 - 3) \cdot \frac{1}{4} + (- 3 \cdot \frac{1}{400})

\frac{3}{4} (3 - \frac{x}{9}) - \frac{1}{6} (1 - \frac{x}{3} = 1 - (x - \frac{3}{2}))

(2 + 3 x i)^{2}

\frac{5 x + 31}{( x + 2 ) ( x + 5 )}

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