What is expand (4x^3y-15x^2-y)dx+(x^4+3y^2-x)dy ?

The solution to expand (4x^3y-15x^2-y)dx+(x^4+3y^2-x)dy is 4x^3ydx-15x^2dx-ydx+x^4dy+3y^2dy-xdy

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expand (4x^3y-15x^2-y)dx+(x^4+3y^2-x)dy

expand

(4 x^{3} y - 15 x^{2} - y) d x + (x^{4} + 3 y^{2} - x) d y

4 x^{3} y d x - 15 x^{2} d x - y d x + x^{4} d y + 3 y^{2} d y - x d y

Solution steps

(4 x^{3} y - 15 x^{2} - y) d x + (x^{4} + 3 y^{2} - x) d y

Expand

d x (4 x^{3} y - 15 x^{2} - y) : 4 x^{3} y d x - 15 x^{2} d x - y d x

= 4 x^{3} y d x - 15 x^{2} d x - y d x + (x^{4} + 3 y^{2} - x) d y

Expand

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

= 4 x^{3} y d x - 15 x^{2} d x - y d x + x^{4} d y + 3 y^{2} d y - x d y

\frac{16}{( x ^{2} + 4 ) ^{2}}

1 \frac{1}{5} (1 - \frac{5}{6})

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

(9 x - 13 x^{3} + 12 - 15 x^{2}) l e f t (- 2 x^{3})

What is expand (4x^3y-15x^2-y)dx+(x^4+3y^2-x)dy ?
The solution to expand (4x^3y-15x^2-y)dx+(x^4+3y^2-x)dy is 4x^3ydx-15x^2dx-ydx+x^4dy+3y^2dy-xdy