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

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

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

expand

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

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

Solution steps

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

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

Expand

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

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

k^{2} \frac{( k ^{2} + 1 ) ( k ^{2} + 2 ) + k ^{2} + 1}{6}

\frac{( s ^{4} + 2 s ^{3} + 3 s ^{2} + 4 s + 5 )}{( s ( s + 1 ) )}

\frac{x ^{2} - 6 x - 7}{( x - 3 ) ^{2}}

(x^{3})^{4}

p (2, - 3) Q (3, 5)

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