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

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

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

expand

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

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

Solution steps

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

Expand

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

= x^{2} d x + 2 x y d x + y^{2} d x + (2 x y + x^{2} - 1) d y

Expand

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

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

\frac{7}{5 x ( x - 2 )}

\frac{x + 3}{1 - 2 x}

\frac{d ^{2}}{d x ^{2}} ((y) ((3 x^{2} + 4)^{\frac{3}{2}} - 8))

\frac{( 1 - cos ( θ ) ) ^{2}}{2}

\frac{x + 1}{( x + 2 ) ^{3} \cdot ( x + 5 ) \cdot ( x + 6 ) ^{2}}

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