What is expand (y^3x^2+2y)dx+x^2y^3(4ydx+5xdy) ?

The solution to expand (y^3x^2+2y)dx+x^2y^3(4ydx+5xdy) is y^3x^2dx+2ydx+4y^4x^2dx+5y^3x^3dy

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expand (y^3x^2+2y)dx+x^2y^3(4ydx+5xdy)

expand

(y^{3} x^{2} + 2 y) d x + x^{2} y^{3} (4 y d x + 5 x d y)

y^{3} x^{2} d x + 2 y d x + 4 y^{4} x^{2} d x + 5 y^{3} x^{3} d y

Solution steps

(y^{3} x^{2} + 2 y) d x + x^{2} y^{3} (4 y d x + 5 x d y)

= (y^{3} x^{2} + 2 y) d x + y^{3} x^{2} (4 y d x + 5 x d y)

Expand

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

= y^{3} x^{2} d x + 2 y d x + x^{2} y^{3} (4 y d x + 5 x d y)

Expand

x^{2} y^{3} (4 y d x + 5 x d y) : 4 y^{4} x^{2} d x + 5 y^{3} x^{3} d y

= y^{3} x^{2} d x + 2 y d x + 4 y^{4} x^{2} d x + 5 y^{3} x^{3} d y

3 in (e^{x} + 1)

(3 - e^{t})^{2}

(x - 5) (x - 5) (x - 2 i) (x + 2 i)

\frac{14 x - 7 h}{x ^{2} ( x + h ) ^{2}}

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

What is expand (y^3x^2+2y)dx+x^2y^3(4ydx+5xdy) ?
The solution to expand (y^3x^2+2y)dx+x^2y^3(4ydx+5xdy) is y^3x^2dx+2ydx+4y^4x^2dx+5y^3x^3dy