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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

\frac{x ^{2} - 5 x + 16}{( 2 x + 1 ) ( x - 2 ) ^{2}}

- \frac{8 ( - 3 x ^{2} - 4 )}{( x ^{2} - 4 ) ^{3}}

- 6 y l e f t (5 y^{2} - 4 y + 2)

\frac{x ^{2} + 1}{( x ^{3} - 5 x ^{2} - 6 x ) ( x ^{2} + x + 9 )}

(- 3 - i)^{5}

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