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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

\frac{507}{s ( s ^{2} - 4 s + 13 ) ^{2}}

\frac{1}{( x ^{2} - A ) ( x ^{2} - B )}

(x + 2) ln (x + 2)

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

(x + 2 y) d x

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