What is expand (5y^4+2x^3y)dx-(4xy^3+x^4)dy ?

The solution to expand (5y^4+2x^3y)dx-(4xy^3+x^4)dy is 5y^4dx+2yx^3dx-4y^3xdy-x^4dy

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expand (5y^4+2x^3y)dx-(4xy^3+x^4)dy

expand

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

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

Solution steps

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

= (5 y^{4} + 2 y x^{3}) d x - (4 y^{3} x + x^{4}) d y

Expand

d x (5 y^{4} + 2 x^{3} y) : 5 y^{4} d x + 2 y x^{3} d x

= 5 y^{4} d x + 2 y x^{3} d x - (4 x y^{3} + x^{4}) d y

Expand

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

= 5 y^{4} d x + 2 y x^{3} d x - 4 y^{3} x d y - x^{4} d y

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What is expand (5y^4+2x^3y)dx-(4xy^3+x^4)dy ?
The solution to expand (5y^4+2x^3y)dx-(4xy^3+x^4)dy is 5y^4dx+2yx^3dx-4y^3xdy-x^4dy