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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

(e^{3 x} - 4) (e^{3 x} + 6)

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

(1 - u^{2})^{2} u^{2} - d u

(1 + 1 + 1 = 0,) (1 + 2 + 3 = 0)

52 (x^{'} + h (x))^{2}

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