Question

Find the value of 249²-248²

Answer 1

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...

Answer 2

Answer:

The value is 497.

Step-by-step explanation:

• An algebraic identity exists as an equation where the value of the left side of the equation stands identical to the value of the right side of the equation.
• The algebraic equations which stand valid for all values of variables in them are named algebraic identities. They exist also used for the factorization of polynomials.

Given,

249²-248².

To find,

The value of 249²-248².

$249^{2}-248^{2}$

Using the algebraic identity$a^{2}-b^{2}=(a+b)(a-b)$

$=(249+248)(249-248)$

By further calculation

$&=497 \times 1$

$&=497$

Therefore, the value is 497.

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