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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

2 (x + h)^{3} - 6 (x + h) - 2 x^{3} - 6 x

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

(2 a - \frac{1}{b})^{4}

\frac{6 ( s + 2 )}{( s + 1 ) ( s + 3 ) ( s + 4 )}

(x + 5 - 1)^{2}

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