Algebra Identities:
- (a + b)2 + (a – b)2 = 2 (a2 + b2)
- (a + b)2 – (a – b)2 = 4ab
- a3 + b3 = (a + b) (a2 – ab + b2)
- a3 – b3 = (a – b) (a2 + ab + b2)
- a4 + a2 + 1 = (a2 + a + 1) (a2 – a + 1)
- If a + b + c = 0, then a3 + b3 + c3 = 3abc
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