Find the product of the rational expressions 2xyz/(x + y) and $x^{2}$ + $y^{2}$ + 2xy)/5xz

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Solution

$\frac{2 x y z}{(x + y)} \times \frac{x^{2} + y^{2} + 2 x y}{5 x z} = \frac{2 x y z}{(x + y)} \times \frac{(x + y)^{2}}{5 x z} = 2 y (x + y) / 5$

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