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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

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\frac{s + 1}{( s - 2 ) ( s + 3 )}

\frac{e ^{t} ( cos ( t ) - cos ( 2 t ) )}{t}

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