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0.5a^2+2a+2-0.5b^2
=2(a^2+4a+4-b^2)
=2[(a+2)^2-b^2]
=2(a+2+b)(a+2-b)
(x^2+2x-3)^2
=[(x+3)(x-1)]^2
=(x+3)^2(x-1)^2