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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

(x - 3 i - 2)^{2}

\frac{1800 x ^{2} - 300 x + 13}{( - 10 x + 1 ) ^{2} ( - 15 x + 1 ) ^{2}}

\frac{x ( x - 4 ) ( x - 9 )}{24}

2 (\frac{2 π ^{4}}{5} - \frac{x ^{4}}{36})

9 \cdot (x + \frac{1}{3})

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