a^2 - b^2 = (a - b)(a + b)
a^2 + b^2 doesn't factor rationally.
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It is the difference of two squares which is: (x+2y)(x-2y)
It is the difference of two squares which is: (6-10w)(6+10w)
This expression is the difference of squares. It can be factored to (9 - 7n4)(9 + 7n4)
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.
8081 can be the sum of two perfect squares because its perfect squares are 41 x41+80x80=1681+6400. Answer=1681+6400