What is expand (2x-y)dx+(4x+y-6)dy ?

The solution to expand (2x-y)dx+(4x+y-6)dy is 2xdx-ydx+4xdy+ydy-6dy

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expand (2x-y)dx+(4x+y-6)dy

expand

(2 x - y) d x + (4 x + y - 6) d y

2 x d x - y d x + 4 x d y + y d y - 6 d y

Solution steps

(2 x - y) d x + (4 x + y - 6) d y

Expand

d x (2 x - y) : 2 x d x - y d x

= 2 x d x - y d x + (4 x + y - 6) d y

Expand

d y (4 x + y - 6) : 4 x d y + y d y - 6 d y

= 2 x d x - y d x + 4 x d y + y d y - 6 d y

(3 + 4 (y - 2)) (3 - 4 (y - 2))

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

(x - \frac{1}{x})^{5}

(y ln (y) - e^{- x y}) d x + (\frac{1}{y} + x ln (y)) d y

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

What is expand (2x-y)dx+(4x+y-6)dy ?
The solution to expand (2x-y)dx+(4x+y-6)dy is 2xdx-ydx+4xdy+ydy-6dy