Correct Answer: Option D

Explanation

\((x^{2} + x)^{2} - (2x + 2)^{2}\)

= \((x^{2} + x + 2x + 2)(x^{2} + x - (2x + 2))\)

= \((x^{2} + 3x + 2)(x^{2} - x - 2)\)

= \(((x + 1)(x + 2))((x + 1)(x - 2))\)

= \((x + 1)^{2} (x + 2)(x - 2)\)

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