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

A. a+1
B. a+1
C. a+1
D. a+1

Answer: Option D

Explanation:

দেওয়া আছে,

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

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