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

The solution to expand x(2x^3-3y^3)dy-y(2x^3-y^3)dx is 2x^4dy-3xy^3dy-2x^3ydx+y^4dx

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

expand

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

2 x^{4} d y - 3 x y^{3} d y - 2 x^{3} y d x + y^{4} d x

Solution steps

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

Expand

x d y (2 x^{3} - 3 y^{3}) : 2 x^{4} d y - 3 x y^{3} d y

= 2 x^{4} d y - 3 x y^{3} d y - y (2 x^{3} - y^{3}) d x

Expand

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

= 2 x^{4} d y - 3 x y^{3} d y - 2 x^{3} y d x + y^{4} d x

P (- 2, 4) y Q (4, - 6)

2 π (\frac{4 π}{3} - 1)

(n + 1)! (n + 2)

(2 n - 1) (2 n + 1) π

sin ((2 m + 1) x)

What is expand x(2x^3-3y^3)dy-y(2x^3-y^3)dx ?
The solution to expand x(2x^3-3y^3)dy-y(2x^3-y^3)dx is 2x^4dy-3xy^3dy-2x^3ydx+y^4dx