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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

\frac{9}{4 x}

\frac{6 e ^{- s}}{( s - 1 ) ^{4}}

\frac{c}{( y ^{2} + 5 y - 6 ) ( 2 y - 1 )}

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

\frac{d x}{( 3 - 5 x ) ^{2}}

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