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  • The value of 249^{2}-248^{2} is (A) 1^{2} (B) 477 (C) 487 (D) 497

The value of 249^{2}-248^{2}  is 

 (A) 1^{2}                          (B) 477                        (C) 487                        (D) 497

Answers (1)

(D) 497

Solution

Here we find the value of 249^{2}-248^{2}  by using the identity a^{2}-b^{2}=(a-b)(a+b)
\\249^{2}-248^{2}=(249-248)(249+248)\\ 249^{2}-248^{2}=(1)(497)\\ 249^{2}-248^{2}=497\\           

Hence the answer is an option (D) 497.

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