What is expand y(y+x+1)dx+(x+2y)dy ?

The solution to expand y(y+x+1)dx+(x+2y)dy is y^2dx+yxdx+ydx+xdy+2ydy

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expand y(y+x+1)dx+(x+2y)dy

expand

y (y + x + 1) d x + (x + 2 y) d y

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

Solution steps

y (y + x + 1) d x + (x + 2 y) d y

Expand

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

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

Expand

d y (x + 2 y) : x d y + 2 y d y

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

\frac{7 x + 32}{( x + 1 ) ( x + 6 )}

(f \circ g) (2 x + 3) (x^{2} - 1)

(sin^{2} (x^{2} - 4) \cdot cos (x + 2)) \cdot (x - 2)

\frac{5 x ^{2} + 6 x + 9}{( x - 3 ) ^{2} ( x + 1 ) ^{2}}

\frac{d ^{2}}{d x ^{2}} ((y) ((4 x^{2} - 1)^{2}))

What is expand y(y+x+1)dx+(x+2y)dy ?
The solution to expand y(y+x+1)dx+(x+2y)dy is y^2dx+yxdx+ydx+xdy+2ydy