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

lo g_{10} (\frac{x y ^{2}}{z ^{8}})

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

43 (36 - 21) - 2 (52 + 47)

\frac{( x + h ) ^{3}}{h}

(3 x^{2} y - 4 x y^{3} + 6 x) d x + (x^{3} - 6 x^{2} y^{2} - 1) d y

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