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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

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

f (x) = \frac{4 x}{3 ( x ^{2} - 4 ) ^{\frac{1}{3}}}

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(98 π - 42) \cdot 6

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

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