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

The solution to expand (1+y^2+xy^2)dx+(x^2y+2xy)dy is dx+y^2dx+y^2xdx+yx^2dy+2yxdy

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

expand

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

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

Solution steps

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

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

Expand

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

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

Expand

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

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

(37 - 2) (2 - 52)

\frac{( x - 4 ) ( 349 - 17 x )}{7}

\frac{8 y ( r ^{2} - 2 x ^{2} - y ^{2} )}{( r ^{2} - x ^{2} - y ^{2} ) ^{\frac{1}{2}}}

(M = 3, a - 2 b - 7 c) x (N = 10 a - 14 b + 7 c)

\frac{y ^{3} + 2 y ^{2} - 1}{y} d y

What is expand (1+y^2+xy^2)dx+(x^2y+2xy)dy ?
The solution to expand (1+y^2+xy^2)dx+(x^2y+2xy)dy is dx+y^2dx+y^2xdx+yx^2dy+2yxdy