Question

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

A
12
B
477
C
487
D
497

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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