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

(a + 2 + \frac{7}{a - 5}) (a - 2 - \frac{5}{a + 2})

(a + b)^{3}

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

\frac{2}{( n + 1 ) ( n + 3 )}

(1 + \frac{x}{2})^{8}

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