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Question

The value of $$249^2 -248^2$$ is


A
12
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B
477
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C
487
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D
497
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Solution

The correct option is D $$497$$
This is of the form $${ a }^{ 2 } -{ b }^{ 2 }$$
We know, $${ a }^{ 2 } -{ b }^{ 2 } = (a + b)(a - b)$$
So, $${ 249 }^{ 2 } - { 248 }^{ 2 } = (249 +  248)(249 - 248)
= 497(1)  =  497$$

Mathematics

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