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## Answers

Add and subtract 2(x²)(1) to make a perfect square

= (x²)² − 2(x²)(1) + 2(x²)(1) + (1)² + x²

= (x² + 1)² − 2x² + x²

= (x² + 1)² − x²

= (x² + 1)² − (x)²

Factorize as difference of 2 squares, a² − b² = (a + b)(a − b)

= [ (x² + 1) + (x) ][ (x² + 1) − (x) ]

= (x² + 1 + x)(x² + 1 − x)

= (x² + x + 1)(x² − x + 1)

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