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

Answer: Option A

Explanation:

দ ে ও য় া আ ছ ে, a^{2} + 2 a b - 2 b - 1 = a^{2} + 2 a b + b^{2} - 2 b - 1 = {(a + b)}^{2} = {(b^{2} + 2 \times b \times 1 + 1)}^{2} = (a + b + b + 1) \{(a + b - (b + 1)\} = (a + 2 b + 1) (a + b - b - 1) = (a + 2 b + 1) (a - 1) (a - 1) (a + 2 b + 1)

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