What is expand 6y^2dx-x(2x^3+y)dy ?

The solution to expand 6y^2dx-x(2x^3+y)dy is 6y^2dx-2x^4dy-yxdy

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

expand

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

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

Solution steps

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

Expand

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

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

(6 + x)^{2}

\frac{( k + 1 ) ( k + 2 ) ( k + 3 )}{3}

(cos (x) + i sin (x))^{2}

(cos (x) + i sin (x))^{5}

(x + y i)^{4}

What is expand 6y^2dx-x(2x^3+y)dy ?
The solution to expand 6y^2dx-x(2x^3+y)dy is 6y^2dx-2x^4dy-yxdy