What is expand (x^2+2xy-4y^2)dx-(x^2-8xy-4y^2)dy ?

The solution to expand (x^2+2xy-4y^2)dx-(x^2-8xy-4y^2)dy is x^2dx+2xydx-4y^2dx-x^2dy+8xydy+4y^2dy

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expand (x^2+2xy-4y^2)dx-(x^2-8xy-4y^2)dy

expand

(x^{2} + 2 x y - 4 y^{2}) d x - (x^{2} - 8 x y - 4 y^{2}) d y

x^{2} d x + 2 x y d x - 4 y^{2} d x - x^{2} d y + 8 x y d y + 4 y^{2} d y

Solution steps

(x^{2} + 2 x y - 4 y^{2}) d x - (x^{2} - 8 x y - 4 y^{2}) d y

Expand

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

= x^{2} d x + 2 x y d x - 4 y^{2} d x - (x^{2} - 8 x y - 4 y^{2}) d y

Expand

- d y (x^{2} - 8 x y - 4 y^{2}) : - x^{2} d y + 8 x y d y + 4 y^{2} d y

= x^{2} d x + 2 x y d x - 4 y^{2} d x - x^{2} d y + 8 x y d y + 4 y^{2} d y

\frac{d}{d y} ((x (y)) (1 + 7 y)^{8})

tan (θ) (cot (θ) - cos (θ))

\frac{d ^{2}}{d k ^{2}} ((y (k, x)) (e^{2 x} - k x))

(x - y) d x + x d y

(1 + 4 y i)^{2}

What is expand (x^2+2xy-4y^2)dx-(x^2-8xy-4y^2)dy ?
The solution to expand (x^2+2xy-4y^2)dx-(x^2-8xy-4y^2)dy is x^2dx+2xydx-4y^2dx-x^2dy+8xydy+4y^2dy