What is expand (x^3+y^6)dx-(x^2y^3+xy^5)dy ?

The solution to expand (x^3+y^6)dx-(x^2y^3+xy^5)dy is x^3dx+y^6dx-x^2y^3dy-xy^5dy

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expand (x^3+y^6)dx-(x^2y^3+xy^5)dy

expand

(x^{3} + y^{6}) d x - (x^{2} y^{3} + x y^{5}) d y

x^{3} d x + y^{6} d x - x^{2} y^{3} d y - x y^{5} d y

Solution steps

(x^{3} + y^{6}) d x - (x^{2} y^{3} + x y^{5}) d y

Expand

d x (x^{3} + y^{6}) : x^{3} d x + y^{6} d x

= x^{3} d x + y^{6} d x - (x^{2} y^{3} + x y^{5}) d y

Expand

- d y (x^{2} y^{3} + x y^{5}) : - x^{2} y^{3} d y - x y^{5} d y

= x^{3} d x + y^{6} d x - x^{2} y^{3} d y - x y^{5} d y

\frac{2}{9 - 2 x}

\frac{1}{( ( y - 1 ) ( y ^{2} + 1 ) )}

\frac{1}{5 ( 15 a + b )}

2 (x - 3) - (\frac{19}{x - 3}) + 12 ln ∣ x - 3 ∣ + C

3 \cdot π (805 - 64)

What is expand (x^3+y^6)dx-(x^2y^3+xy^5)dy ?
The solution to expand (x^3+y^6)dx-(x^2y^3+xy^5)dy is x^3dx+y^6dx-x^2y^3dy-xy^5dy