What is expand (2y^2+2y+4x^2)dx+(2xy+x)dy ?

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

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expand (2y^2+2y+4x^2)dx+(2xy+x)dy

expand

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

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

Solution steps

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

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

Expand

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

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

Expand

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

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

2 (x^{2} + 3 x - 1)^{2}

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

3 l e f t (2 a + 5 a^{2}) + (2 a - a^{2})

e^{e^{x} (x - 1)}

(7, 1) y (3, - 2)

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