What is expand (x^2-2xy+3y^2)dx+(y^2+6xy-x^2)dy ?

The solution to expand (x^2-2xy+3y^2)dx+(y^2+6xy-x^2)dy is x^2dx-2xydx+3y^2dx+y^2dy+6xydy-x^2dy

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expand (x^2-2xy+3y^2)dx+(y^2+6xy-x^2)dy

expand

(x^{2} - 2 x y + 3 y^{2}) d x + (y^{2} + 6 x y - x^{2}) d y

x^{2} d x - 2 x y d x + 3 y^{2} d x + y^{2} d y + 6 x y d y - x^{2} d y

Solution steps

(x^{2} - 2 x y + 3 y^{2}) d x + (y^{2} + 6 x y - x^{2}) d y

Expand

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

= x^{2} d x - 2 x y d x + 3 y^{2} d x + (y^{2} + 6 x y - x^{2}) d y

Expand

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

= x^{2} d x - 2 x y d x + 3 y^{2} d x + y^{2} d y + 6 x y d y - x^{2} d y

\frac{2 x ^{2} - 4 x - 3}{( x + 1 ) ( 2 x - 1 )}

\frac{2 s}{( s - 1 ) ( s ^{2} + 25 )}

\frac{d}{d y} ((x) (1 + 3 x)^{5})

y^{2} d x + (3 x y + y^{2} - 1) d y

\frac{8 ( x ^{2} + 4 )}{( 49 - x ^{2} ) ^{7}}

What is expand (x^2-2xy+3y^2)dx+(y^2+6xy-x^2)dy ?
The solution to expand (x^2-2xy+3y^2)dx+(y^2+6xy-x^2)dy is x^2dx-2xydx+3y^2dx+y^2dy+6xydy-x^2dy