Expand: ${(x^{2} + 2 y)}^{2}$

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Solution

Given, ${(x^{2} + 2 y)}^{2}$

$= (x^{2} + 2 y) (x^{2} + 2 y)$

$= x^{2} (x^{2} + 2 y) + 2 y (x^{2} + 2 y)$

$= x^{4} + 2 x^{2} y + 2 y x^{2} + 4 y^{2}$

$= x^{4} + 4 y x^{2} + 4 y^{2}$

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