Question:
The value of $(249)^{2}-(248)^{2}$ is
(a) $1^{2}$
(b) 477
(c) 487
(d) 497
Solution:
$(249)^{2}-(248)^{2}$
We know
$a^{2}-b^{2}=(a+b)(a-b)$
So,
$(249)^{2}-(248)^{2}=(249-248)(249+248)=497$
Hence, the correct answer is option (d).
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