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Then a^2+2ab+b^2 = a^2+b^2, so
So any choice for a,b must contain at least one zero.
One example: a=0, b=1.
Check:
(0+1)^2 = 0^2 + 1^2
1 = 1 TRUE
Any choice that satisfies a or b being 0 (or both) will give you a correct answer. Pick your favorite number and 0, and check it.