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Let’s use algebra. starting with x,y, the square of the difference is = + - 2

the square of the sum is

= + + 2

what if we subtract the square of the difference from the square of the sum.

- = (+ + 2 - (+ - 2)

- =

writing this in reverse

= -

multiples of 16 are 16,32,48,64,80…..starting with 48

48 = 4121

= here x=12 and y=1

= -

= -

= -

similarly 48 can also be written as

48 = 443

= here x=4 and y=3

= -

= -

= -

48 can also be written as

48 = 462

= here x=6 and y=2

= -

= -

= -

Similarly for 64 = 4161 = -

64 = 482 = -

64 = 444 = -

Similarly we can do it for other multiples of 16.