Let the numbers to be determined be A and B.

Now the sum of the numbers is 14

=> A + B = 14.

The product of the numbers is 8

=> AB = 8.

We need to find the sum of the product of these numbers, for this we...

## Unlock

This Answer NowStart your **48-hour free trial** to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Already a member? Log in here.

Let the numbers to be determined be A and B.

Now the sum of the numbers is 14

=> A + B = 14.

The product of the numbers is 8

=> AB = 8.

We need to find the sum of the product of these numbers, for this we use the formula

(a + b)^2 = a^2 + b^2 + 2ab

=> a^2 + b^2 = (a + b)^2 - 2ab

A^2 + B^2 = (A+B)^2 – 2AB

=> 14^2 – 2*8

=> 196 – 16

=> 180

**Therefore the sum of the squares of the two numbers is 180.**