Respuesta :

Given:

Consider the expression is

[tex]231^2-131^2[/tex]

To find:

The value of given expression using a suitable identity.

Solution:

We have,

[tex]231^2-131^2[/tex]

Using the identity [tex]a^2-b^2=(a-b)(a+b)[/tex], we get

[tex]231^2-131^2=(231-131)(231+131)[/tex]

[tex]231^2-131^2=(100)(362)[/tex]

[tex]231^2-131^2=36200[/tex]

Therefore, the value of the given expression is [tex]231^2-131^2=36200[/tex].