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B
(p−q−a+b)(p−q+a−b+1)
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C
(p+q+a+b)(p+q+a−b+1)
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D
(p+q−a−b)(p+q+a−b+1)
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Solution
The correct option is C(p+q−a+b)(p+q+a−b+1) p2+q2−a2−b2+2pq+2ab+p+q−a+b=(p2+q2+2pq)+(p+q)−(a2+b2−2ab)−(a−b)=(p+q)2+(p+q)−(a−b)2−(a−b)=(p+q−a+b)(p+q+a−b)+(p+q−a+b)=(p+q−a+b)(p+q+a−b+1)