Use the identity (x+y)(x−y)=x2−y2 to find the difference of two numbers if the sum of the numbers is 12 and the difference of the squares of the numbers is 48.

enter your answer as a number, like this: 42

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.

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step-by-step explanation:

3

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