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

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

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

expand

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

x d x - y d x - x d y - 3 y d y

Solution steps

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

Expand

d x (x - y) : x d x - y d x

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

Expand

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

= x d x - y d x - x d y - 3 y d y

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

\frac{d}{d x} ((a + b x) e^{x}) + c

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

8 (π - 2)

\frac{30 x}{( x ^{2} + 3 ) ^{2}}

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