What is expand (3y^2+10xy^2)dx+(6xy-2+10x^2y)dy ?

The solution to expand (3y^2+10xy^2)dx+(6xy-2+10x^2y)dy is 3y^2dx+10y^2xdx+6yxdy-2dy+10yx^2dy

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expand (3y^2+10xy^2)dx+(6xy-2+10x^2y)dy

expand

(3 y^{2} + 10 x y^{2}) d x + (6 x y - 2 + 10 x^{2} y) d y

3 y^{2} d x + 10 y^{2} x d x + 6 y x d y - 2 d y + 10 y x^{2} d y

Solution steps

(3 y^{2} + 10 x y^{2}) d x + (6 x y - 2 + 10 x^{2} y) d y

= (3 y^{2} + 10 y^{2} x) d x + (6 y x - 2 + 10 y x^{2}) d y

Expand

d x (3 y^{2} + 10 x y^{2}) : 3 y^{2} d x + 10 y^{2} x d x

= 3 y^{2} d x + 10 y^{2} x d x + (6 x y - 2 + 10 x^{2} y) d y

Expand

d y (6 x y - 2 + 10 x^{2} y) : 6 y x d y - 2 d y + 10 y x^{2} d y

= 3 y^{2} d x + 10 y^{2} x d x + 6 y x d y - 2 d y + 10 y x^{2} d y

(t + 23)^{2}

- ((1 - cos (t)) (- 1 + cos (t)))

(x^{2} + 1) (3 x + 4)

(s + 1) (s + 1 + j^{2} π) (s + 1 - j^{2} π)

What is expand (3y^2+10xy^2)dx+(6xy-2+10x^2y)dy ?
The solution to expand (3y^2+10xy^2)dx+(6xy-2+10x^2y)dy is 3y^2dx+10y^2xdx+6yxdy-2dy+10yx^2dy