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

The solution to expand 2(x+y)dx-x(x+2y-2)dy is 2xdx+2ydx-x^2dy-2xydy+2xdy

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expand 2(x+y)dx-x(x+2y-2)dy

expand

2 (x + y) d x - x (x + 2 y - 2) d y

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

Solution steps

2 (x + y) d x - x (x + 2 y - 2) d y

Expand

2 d x (x + y) : 2 x d x + 2 y d x

= 2 x d x + 2 y d x - x (x + 2 y - 2) d y

Expand

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

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

(2 - m) ln (3 x + 100)

\frac{2 ( x ^{2} - 2 ln ( x ^{2} + 1 ) ( x ^{2} + 1 ) )}{3 x ^{5} ( x ^{2} + 1 )}

\frac{x ^{2} + x + 3}{( x + 1 ) ( x ^{2} - 7 x + 1 )}

\frac{( e ^{- s} )}{( s + 3 ) ^{2}}

\frac{( 2 e ^{- 5 s} )}{s ( 3 s + 1 )}

What is expand 2(x+y)dx-x(x+2y-2)dy ?
The solution to expand 2(x+y)dx-x(x+2y-2)dy is 2xdx+2ydx-x^2dy-2xydy+2xdy