that's x2 - y2 = (x-y)(x+y)
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The proposition in the question is simply not true so there can be no answer!For example, if given the integer 6:there are no two perfect squares whose sum is 6,there are no two perfect squares whose difference is 6,there are no two perfect squares whose product is 6,there are no two perfect squares whose quotient is 6.
a2 - b2 = (a - b)(a + b)
a2 - b2 = (a - b)(a + b)
Each has two binomial factors.
The smallest perfect squares that end with 9 are 9 (the square of 3) 49 (the square of 7). Their difference is 40.