What is expand (16xy-3x^2)dx+(8x^2+2y)dy ?

The solution to expand (16xy-3x^2)dx+(8x^2+2y)dy is 16xydx-3x^2dx+8x^2dy+2ydy

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expand (16xy-3x^2)dx+(8x^2+2y)dy

expand

(16 x y - 3 x^{2}) d x + (8 x^{2} + 2 y) d y

16 x y d x - 3 x^{2} d x + 8 x^{2} d y + 2 y d y

Solution steps

(16 x y - 3 x^{2}) d x + (8 x^{2} + 2 y) d y

Expand

d x (16 x y - 3 x^{2}) : 16 x y d x - 3 x^{2} d x

= 16 x y d x - 3 x^{2} d x + (8 x^{2} + 2 y) d y

Expand

d y (8 x^{2} + 2 y) : 8 x^{2} d y + 2 y d y

= 16 x y d x - 3 x^{2} d x + 8 x^{2} d y + 2 y d y

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What is expand (16xy-3x^2)dx+(8x^2+2y)dy ?
The solution to expand (16xy-3x^2)dx+(8x^2+2y)dy is 16xydx-3x^2dx+8x^2dy+2ydy