simplify (a+b+c) ^2 - (a-b-c)^2
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(a+b+c) ^2 - (a-b-c)^2
= [ (a+b+c) + (a-b-c)] [(a+b+c) - (a-b-c)]
= [ a+b+c + a-b-c] [ a+b+c - a+b+c]
= 2a(2b+2c)
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