What is expand (1+x^2)y^3dx+(1-y^2)x^3dy ?

The solution to expand (1+x^2)y^3dx+(1-y^2)x^3dy is y^3dx+x^2y^3dx+x^3dy-x^3y^2dy

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expand (1+x^2)y^3dx+(1-y^2)x^3dy

expand

(1 + x^{2}) y^{3} d x + (1 - y^{2}) x^{3} d y

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

Solution steps

(1 + x^{2}) y^{3} d x + (1 - y^{2}) x^{3} d y

= y^{3} (1 + x^{2}) d x + x^{3} (1 - y^{2}) d y

Expand

y^{3} d x (1 + x^{2}) : y^{3} d x + x^{2} y^{3} d x

= y^{3} d x + x^{2} y^{3} d x + (1 - y^{2}) x^{3} d y

Expand

x^{3} d y (1 - y^{2}) : x^{3} d y - x^{3} y^{2} d y

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

(3 x^{4} - x^{3} - 2 x^{2} + 3 x - 2) l e f t (x^{3} + 2 x^{2} - 4 x + 1)

(3 a - \frac{1}{4} b)^{2}

\frac{\partial}{\partial y} ((z) (x^{2} + 3 x y + y^{2}))

(a e - b d)^{2} + (a f - c d)^{2} + (b f - ce)^{2}

(A + B = 2,) (- 2 A + C = 3)

What is expand (1+x^2)y^3dx+(1-y^2)x^3dy ?
The solution to expand (1+x^2)y^3dx+(1-y^2)x^3dy is y^3dx+x^2y^3dx+x^3dy-x^3y^2dy