Simplify the polynomial by regrouping method.
$5 x y^{3} + 2 x^{2} y^{2} + 10 x y + 4 x^{2}$

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

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x (5 y - 2 x) (y^{2} + 2)

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

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x (5 y + 2 x) (y^{2} - 2)

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Solution

The correct option is A $x (5 y + 2 x) (y^{2} + 2)$
Given:
$5 x y^{3} + 2 x^{2} y^{2} + 10 x y + 4 x^{2} \Rightarrow 5 x y^{3} + 10 x y + 2 x^{2} y^{2} + 4 x^{2} \Rightarrow 5 x y (y^{2} + 2) + 2 x^{2} (y^{2} + 2) \Rightarrow (y^{2} + 2) (5 x y + 2 x^{2}) \Rightarrow x (5 y + 2 x) (y^{2} + 2)$

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