Math, asked by pbsm5382, 11 months ago

Find the value of 249^2-248^2

Answers

Answered by brainliesthero
4

answer is 1

because 249×249-248×248=1

mark my answer as brainliest

Answered by sharonr
11

The value of 249^2-248^2 is 497

Solution:

Given that the expression is 249^2 - 248^2

We know that in algebra,

\left(a^{2}-b^{2}\right)=(a+b)(a-b)  → (1)

Here a = 249 and b = 248

Therefore by substituting the values in equation 1 we get,

249^{2}-248^{2}=(249-248)(249+248)

\begin{array}{l}{249^{2}-248^{2}=(1)(497)} \\\\ {249^{2}-248^{2}=497}\end{array}

Hence the value of  249^2 - 248^2 is 497

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