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`.