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

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

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

expand

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

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

Solution steps

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

Expand

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

= 4 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

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

\frac{( ( 4 - 2 y ) ^{3} )}{3}

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

(4 - x) (x)

(x^{2} + 4 x + 2) sin (x) + (2 x + 4) cos (x)

(1 - \frac{x ^{2}}{36}) \cdot 25

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