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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

Expand

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

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

Expand

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

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

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Frequently Asked Questions (FAQ)

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