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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

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

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

\frac{s}{( s ^{2} + 4 ) ^{3}}

(x + 23)^{7}

(x - 9) (x + 3)

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