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].