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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

d y (2 y - 3) : 2 y d y - 3 d y

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

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

(x - 22)^{2}

(1 - cos (x))^{2} + sin^{2} (x)

(x - 3 + 2)^{2}

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

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