What is expand (2*xy^2-3)dx+(2x^2y+4)dy ?

The solution to expand (2*xy^2-3)dx+(2x^2y+4)dy is 2xy^2dx-3dx+2x^2ydy+4dy

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expand (2*xy^2-3)dx+(2x^2y+4)dy

expand

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

2 x y^{2} d x - 3 d x + 2 x^{2} y d y + 4 d y

Solution steps

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

Expand

d x (2 x y^{2} - 3) : 2 x y^{2} d x - 3 d x

= 2 x y^{2} d x - 3 d x + (2 x^{2} y + 4) d y

Expand

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

= 2 x y^{2} d x - 3 d x + 2 x^{2} y d y + 4 d y

\frac{x ^{4} + 8 x ^{3} - x ^{2} + 2 x + 1}{( x ^{2} + 3 ) ( x ^{3} + 1 )}

\frac{4 t}{( 2 t + 1 ) ^{3}}

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

(e^{z} - 1)^{2}

What is expand (2*xy^2-3)dx+(2x^2y+4)dy ?
The solution to expand (2*xy^2-3)dx+(2x^2y+4)dy is 2xy^2dx-3dx+2x^2ydy+4dy