If 'a' and 'b' are natural numbers such that a2-b2 is a prime number then a2-b​2 equals

(a) a+b
(b) a-b
(c) ab
(d) 1

Dear Student,


a2-b2 is a prime numberSo, it has only two factors:- 1 and number itselfBut a2-b2=a+b a-bAs a and b are two natural numbers . So their sum can't be 1.So, a-b=1Thus,a2-b2=a+bCorrect option is a .

Regards

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