Question

The value of 249² - 248² is

Answer 1

${249}^{2} - {248 }^{2} \\ = 62001 - 61504 \\ = 497$

Answer 2

249^2 - 248^2

it is in the form of a^2 - b^2

we know that..a^2 - b^2 = (a+b)(a-b)

here a= 249 ; b = 248

so we can write 249^2 - 248^2 as

(249 + 248)(249-248)

(497)(1)

497 is the answer..