What is expand (5xy+4y^2+1)dx+(x^2+2xy)dy ?

The solution to expand (5xy+4y^2+1)dx+(x^2+2xy)dy is 5xydx+4y^2dx+dx+x^2dy+2xydy

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expand (5xy+4y^2+1)dx+(x^2+2xy)dy

expand

(5 x y + 4 y^{2} + 1) d x + (x^{2} + 2 x y) d y

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

Solution steps

(5 x y + 4 y^{2} + 1) d x + (x^{2} + 2 x y) d y

Expand

d x (5 x y + 4 y^{2} + 1) : 5 x y d x + 4 y^{2} d x + d x

= 5 x y d x + 4 y^{2} d x + d x + (x^{2} + 2 x y) d y

Expand

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

= 5 x y d x + 4 y^{2} d x + d x + x^{2} d y + 2 x y d y

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

\frac{3 ( x ^{7} + 2 )}{x}

(y - 1) d y

\frac{( x + 5 ) ( x - 5 )}{2}

(- x + y = 6,) (2 x + y = 3)

What is expand (5xy+4y^2+1)dx+(x^2+2xy)dy ?
The solution to expand (5xy+4y^2+1)dx+(x^2+2xy)dy is 5xydx+4y^2dx+dx+x^2dy+2xydy