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

The solution to expand (x+2y-2)dx+(2x-y+3)dy is xdx+2ydx-2dx+2xdy-ydy+3dy

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

expand

(x + 2 y - 2) d x + (2 x - y + 3) d y

x d x + 2 y d x - 2 d x + 2 x d y - y d y + 3 d y

Solution steps

(x + 2 y - 2) d x + (2 x - y + 3) d y

Expand

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

= x d x + 2 y d x - 2 d x + (2 x - y + 3) d y

Expand

d y (2 x - y + 3) : 2 x d y - y d y + 3 d y

= x d x + 2 y d x - 2 d x + 2 x d y - y d y + 3 d y

(4 x - 1) (6 + 7 x)

(2 π x) (2 x + e^{x})

4 (2 cos^{2} (φ) - \frac{sec ^{2} ( φ )}{2}) \cdot sin (φ)

(x - 4) (x + 6)

(x - 4) (x + 3)

What is expand (x+2y-2)dx+(2x-y+3)dy ?
The solution to expand (x+2y-2)dx+(2x-y+3)dy is xdx+2ydx-2dx+2xdy-ydy+3dy