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Question
Write in the expanded form (a2 + b2 + c2 )2
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Solution
We have
(a2 + b2 + c2 )2 = (a2 )2 + (b2 )2 + (c2 )2 + 2a2b2 + 2b2c2 + 2a2c2
∵ (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca
= a4 + b4 + c4 + 2a2b2 + 2b2c2 + 2a2c2
∴ (a2 + b2 + c2 )2 = a4 + b4 + c4 + 2a2b2 + 2b2c2 + 2a2c2
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