What is expand (2x+y)dx+(4x+2y-1)dy ?

The solution to expand (2x+y)dx+(4x+2y-1)dy is 2xdx+ydx+4xdy+2ydy-dy

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expand (2x+y)dx+(4x+2y-1)dy

expand

(2 x + y) d x + (4 x + 2 y - 1) d y

2 x d x + y d x + 4 x d y + 2 y d y - d y

Solution steps

(2 x + y) d x + (4 x + 2 y - 1) d y

Expand

d x (2 x + y) : 2 x d x + y d x

= 2 x d x + y d x + (4 x + 2 y - 1) d y

Expand

d y (4 x + 2 y - 1) : 4 x d y + 2 y d y - d y

= 2 x d x + y d x + 4 x d y + 2 y d y - d y

(x - 5 + 9)^{2}

(2 x + 1) (2 x - 1) (x - 2 - 5) (x - 2 + 5)

(x^{4} + \frac{2}{x ^{2}}) (x^{4} - \frac{2}{x ^{2}})

(\frac{3 x y ^{2}}{8} - \frac{7 y}{2})^{3}

\frac{8 x ^{2} + 8 x + 2}{( 4 x ^{2} + 1 ) ^{2}}

What is expand (2x+y)dx+(4x+2y-1)dy ?
The solution to expand (2x+y)dx+(4x+2y-1)dy is 2xdx+ydx+4xdy+2ydy-dy