What is expand (5x+4y)dx+(4x-8y^3)dy ?

The solution to expand (5x+4y)dx+(4x-8y^3)dy is 5xdx+4ydx+4xdy-8y^3dy

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expand (5x+4y)dx+(4x-8y^3)dy

expand

(5 x + 4 y) d x + (4 x - 8 y^{3}) d y

5 x d x + 4 y d x + 4 x d y - 8 y^{3} d y

Solution steps

(5 x + 4 y) d x + (4 x - 8 y^{3}) d y

Expand

d x (5 x + 4 y) : 5 x d x + 4 y d x

= 5 x d x + 4 y d x + (4 x - 8 y^{3}) d y

Expand

d y (4 x - 8 y^{3}) : 4 x d y - 8 y^{3} d y

= 5 x d x + 4 y d x + 4 x d y - 8 y^{3} d y

\frac{x + 3 k}{( x + k ) ( x + 2 k )}

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

cos (3 (2 t - \frac{π}{6})) u (2 t - \frac{π}{6})

\frac{( x + y ) ^{3}}{3}

9 n^{2} + 2 n^{2} \cdot 4 + 5 n^{2}

What is expand (5x+4y)dx+(4x-8y^3)dy ?
The solution to expand (5x+4y)dx+(4x-8y^3)dy is 5xdx+4ydx+4xdy-8y^3dy