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

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

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

expand

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

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

Solution steps

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

Distribute parentheses

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

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

\frac{6 x ^{2} + 9}{x ( x + 3 ) ^{2}}

(2 x + 3 y = 72, 0) - (x + y = 480)

(x + 2)^{2} d x

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

\frac{9}{( 3 x ^{2} + 8 ) ^{2}}

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