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

The solution to expand 3(2xy(dy)/(dx)+y^2) is 6xy(dy)/(dx)+3y^2

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

expand

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

6 x y \frac{d y}{d x} + 3 y^{2}

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

a = 3, b = 2 x y \frac{d y}{d x}, c = y^{2}

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

Multiply the numbers:

3 \cdot 2 = 6

= 6 x y \frac{d y}{d x} + 3 y^{2}

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What is expand 3(2xy(dy)/(dx)+y^2) ?
The solution to expand 3(2xy(dy)/(dx)+y^2) is 6xy(dy)/(dx)+3y^2