What is expand (x+y-1)dx+(2x+2y+3)dy ?

The solution to expand (x+y-1)dx+(2x+2y+3)dy is xdx+ydx-dx+2xdy+2ydy+3dy

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expand (x+y-1)dx+(2x+2y+3)dy

expand

(x + y - 1) d x + (2 x + 2 y + 3) d y

x d x + y d x - d x + 2 x d y + 2 y d y + 3 d y

Solution steps

(x + y - 1) d x + (2 x + 2 y + 3) d y

Expand

d x (x + y - 1) : x d x + y d x - d x

= x d x + y d x - d x + (2 x + 2 y + 3) d y

Expand

d y (2 x + 2 y + 3) : 2 x d y + 2 y d y + 3 d y

= x d x + y d x - d x + 2 x d y + 2 y d y + 3 d y

8 (5 - 2)

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

\frac{4 s ^{2} + s + 1}{s ^{2} ( s ^{2} - 2 s + 5 )}

y (2 x y + 1) d x - x d y

\frac{x + 4}{x ( x + 2 )}

What is expand (x+y-1)dx+(2x+2y+3)dy ?
The solution to expand (x+y-1)dx+(2x+2y+3)dy is xdx+ydx-dx+2xdy+2ydy+3dy