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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

(e^{x} + e^{- x})^{2}

(3 y - 5 i)^{2}

(x - 4) (x + 4)

(x - 4) (x + 5) (x - 5)

(5 x - 2)^{2}

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