Question

Using suitable identity find 231^222-131^2​

Answer 1

Given:

Consider the expression is

$231^2-131^2$

To find:

The value of given expression using a suitable identity.

Solution:

We have,

$231^2-131^2$

Using the identity $a^2-b^2=(a-b)(a+b)$, we get

$231^2-131^2=(231-131)(231+131)$

$231^2-131^2=(100)(362)$

$231^2-131^2=36200$

Therefore, the value of the given expression is $231^2-131^2=36200$.