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Anonymous
as a2+b2=(a+ib)(a-ib), b2+2=[b - i sqrt(2)] [b + i sqrt(2)]
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(a + 2 - b) (a + 2 + b)
(a+b)(3b+1)
(b + 8)(b + 4)
(b + 4)(b + 4)
(a + x^2)(b + y^2)