What is expand (x^2+y^2-5)dx-(y+xy)dy ?

The solution to expand (x^2+y^2-5)dx-(y+xy)dy is x^2dx+y^2dx-5dx-ydy-xydy

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expand (x^2+y^2-5)dx-(y+xy)dy

expand

(x^{2} + y^{2} - 5) d x - (y + x y) d y

x^{2} d x + y^{2} d x - 5 d x - y d y - x y d y

Solution steps

(x^{2} + y^{2} - 5) d x - (y + x y) d y

Expand

d x (x^{2} + y^{2} - 5) : x^{2} d x + y^{2} d x - 5 d x

= x^{2} d x + y^{2} d x - 5 d x - (y + x y) d y

Expand

- d y (y + x y) : - y d y - x y d y

= x^{2} d x + y^{2} d x - 5 d x - y d y - x y d y

3 (2 - 5)

7 (8 + 3)

2 x y d x + (x^{2} + 1) d y

\frac{( x ^{2} + x + 5 ) ( x ^{2} - 9 )}{( x + 6 ) ^{4} ( x + 2 ) ^{3}}

(4 + 3 i)^{4}

What is expand (x^2+y^2-5)dx-(y+xy)dy ?
The solution to expand (x^2+y^2-5)dx-(y+xy)dy is x^2dx+y^2dx-5dx-ydy-xydy