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{20}{( s ^{2} + 4 s + 13 ) ( s + 1 )}

\frac{( 3 x - 1 ) ^{2}}{( x + 1 ) ^{3}}

\frac{135 ( 75 \cdot 5 ^{\frac{1}{3}} - 27 \cdot 3 ^{\frac{1}{3}} ) - 14}{105}

\frac{( s - 4 )}{( s + 1 ) ( s + 2 )}

e^{9 x + 11 y - x^{2} - y^{2} - 33} (- 2 x + 9)

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