$$(x+y)^2 - (x-y)^2$$

How to find the difference between two sets of square numbers

When the difference between two sets of square numbers is asked, we can apply the following formula.

$$(x+y)^2 - (x-y)^2 = x^2 + y^2 + z^2 + 2(xy + y + z + zx)$$

Let us work it out with an example:-

let x=8 and y=7

$$(x+y)^2 - (x-y)^2 = 4xy$$

$$(8+7)^2 - (8-7)^2 = 4*8*7$$

4*57

224