What is expand ((xy^2)/2 = y/x+C)*2x ?

The solution to expand ((xy^2)/2 = y/x+C)*2x is x^2y^2= y/x+2Cx

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expand ((xy^2)/2 = y/x+C)*2x

expand

(\frac{x y ^{2}}{2} = \frac{y}{x} + C) \cdot 2 x

x^{2} y^{2} = \frac{y}{x} + 2 C x

Solution steps

(\frac{x y ^{2}}{2} = \frac{y}{x} + C) \cdot 2 x

= 2 x (= \frac{y}{x} \cdot \frac{x y ^{2}}{2} + C)

Apply the distributive law:

a (b + c) = ab + a c

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

2 x \frac{x y ^{2}}{2} = \frac{y}{x} + 2 x C

2 \cdot \frac{x y ^{2}}{2} x = \frac{y}{x} + 2 C x

Expand

2 \cdot \frac{x y ^{2}}{2} x : x^{2} y^{2}

x^{2} y^{2} = \frac{y}{x} + 2 C x

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\frac{( x ^{4} + 6 x - 1 )}{( x + 1 ) ( x ^{2} - 2 x + 4 )}

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What is expand ((xy^2)/2 = y/x+C)*2x ?
The solution to expand ((xy^2)/2 = y/x+C)*2x is x^2y^2= y/x+2Cx