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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

- 2 l e f t (x + 3)^{2}

3 x^{2} (1 + x) + \frac{x ^{\frac{5}{2}}}{2}

(- \frac{3}{2} x + 3)^{2}

- (e^{x} cos (x) - e^{x} sin (x)) (e^{x} + e^{x} sin (x))

\frac{5 - 2 x}{x ^{2} ( 2 - x )}

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