Answer:
The difference of two numbers using identity
is 4.
Step-by-step explanation:
Given: The sum of the numbers is 12 and the difference of the squares of the numbers is 48.
To find the difference of two numbers using identity 
Let the two numbers be a and b, then
Given that the sum of the numbers is 12
that is a + b = 12 .........(1)
Also, given the difference of the squares of the numbers is 48.
that is
..........(2)
Using given identity 
We have 
Substitute the known values, we have,

Divide both side 12 , we have,

Thus, the difference of two numbers using identity
is 4.