What is expand (5x^3+3xy+2y^2)dx+(x^2+2xy)dy ?

The solution to expand (5x^3+3xy+2y^2)dx+(x^2+2xy)dy is 5x^3dx+3xydx+2y^2dx+x^2dy+2xydy

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expand (5x^3+3xy+2y^2)dx+(x^2+2xy)dy

expand

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

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

Solution steps

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

Expand

d x (5 x^{3} + 3 x y + 2 y^{2}) : 5 x^{3} d x + 3 x y d x + 2 y^{2} d x

= 5 x^{3} d x + 3 x y d x + 2 y^{2} d x + (x^{2} + 2 x y) d y

Expand

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

= 5 x^{3} d x + 3 x y d x + 2 y^{2} d x + x^{2} d y + 2 x y d y

(x^{2} + \frac{1}{2 x})^{12}

\frac{2 x ^{2} + 4}{( x + 1 ) ( x ^{2} + 5 )}

\frac{960 x ^{2} - 132 x + 4.6}{( - 10 x + 1 ) ^{2} ( - 15 x + 1 ) ^{2}}

(3 - x)^{2}

\frac{1}{( s + p ) ^{2}}

What is expand (5x^3+3xy+2y^2)dx+(x^2+2xy)dy ?
The solution to expand (5x^3+3xy+2y^2)dx+(x^2+2xy)dy is 5x^3dx+3xydx+2y^2dx+x^2dy+2xydy