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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

\frac{2 k}{( ( 2 j w + 1 ) ( j w + 1 ) ( j w + 2 ) )}

\frac{6 x ^{2}}{( x - 1 ) ^{4}}

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

\frac{x ^{3} - 4 x ^{2} + 5 x + 1}{x ( x - 1 ) ^{2}}

\frac{ln ( n + 1 )}{( n + 1 ) ^{3}}

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