What is expand (2xdx-4x^3)dx-(2ydy+x^2)dy ?

The solution to expand (2xdx-4x^3)dx-(2ydy+x^2)dy is 2xdx^2-4x^3dx-2ydy^2-x^2dy

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expand (2xdx-4x^3)dx-(2ydy+x^2)dy

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

(x - 2) (x - \frac{1}{2}) (x + 4)

(csc (x) + 2) (- 2 csc (x) cot (x))

\frac{x}{5 ( x - 1 ) ^{3}}

\frac{4 x - 1}{s ^{2} ( s + 1 ) ^{3}}

y (x + y) d x + \frac{x y + 1}{d y = 0}

What is expand (2xdx-4x^3)dx-(2ydy+x^2)dy ?
The solution to expand (2xdx-4x^3)dx-(2ydy+x^2)dy is 2xdx^2-4x^3dx-2ydy^2-x^2dy