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Popular >

expand (2y-2xy^3+4x+6)dx+(2x-3x^2y^2-1)dy

Solution

expand

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

Solution

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

Solution steps

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

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

Expand

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

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

Expand

d y (2 x - 3 x^{2} y^{2} - 1) : 2 x d y - 3 y^{2} x^{2} d y - d y

= 2 y d x - 2 y^{3} x d x + 4 x d x + 6 d x + 2 x d y - 3 y^{2} x^{2} d y - d y

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Frequently Asked Questions (FAQ)

What is expand (2y-2xy^3+4x+6)dx+(2x-3x^2y^2-1)dy ?
The solution to expand (2y-2xy^3+4x+6)dx+(2x-3x^2y^2-1)dy is 2ydx-2y^3xdx+4xdx+6dx+2xdy-3y^2x^2dy-dy