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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

A (3, - 2, 4)

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

\frac{4 x - 28}{3 ( x + 2 ) ( x - 5 )}

(x - 2)^{5} (x + 2)^{6} x^{4}

\frac{- 10 + 2 x ^{2}}{x ( 1 + x ^{2} ) ( 4 + x ^{2} )}

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