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1. $1 - a^{2} + 2 a b - b^{2}$

Answer: Option D

Explanation:

1 - a^{2} + 2 a b - b^{2} = (a^{2} - 2 a b + b^{2}) - 1 = {(a - b)}^{2} - 1^{2} = (1 + a - b) (1 - a + b)

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