What is expand (4y+yx^2)dy-(2x+xy^2)dx ?

The solution to expand (4y+yx^2)dy-(2x+xy^2)dx is 4ydy+yx^2dy-2xdx-y^2xdx

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expand (4y+yx^2)dy-(2x+xy^2)dx

expand

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

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

Solution steps

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

= (4 y + y x^{2}) d y - (2 x + y^{2} x) d x

Expand

d y (4 y + y x^{2}) : 4 y d y + y x^{2} d y

= 4 y d y + y x^{2} d y - (2 x + x y^{2}) d x

Expand

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

= 4 y d y + y x^{2} d y - 2 x d x - y^{2} x d x

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

\frac{n ( 4 n + 1 ) ( 5 n + 3 )}{6 n ^{3} + 2}

\frac{( x ^{3} - 11 x ^{2} + 25 x - 20 ) 13}{10}

\frac{( c + 5 ) ( c - 4 )}{2 ( c + 2 )}

\frac{( 7 ( x - 3 ) )}{4}

What is expand (4y+yx^2)dy-(2x+xy^2)dx ?
The solution to expand (4y+yx^2)dy-(2x+xy^2)dx is 4ydy+yx^2dy-2xdx-y^2xdx