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Question
Find the following product:
(x2 – 1)(x4 + x2 + 1)
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Solution
(x2 – 1)(x4 + x2 + 1) = x2(x4 + x2 + 1) – 1(x4 + x2 + 1)
= [x2(x4) + x2(x2) + x2(1) – 1(x4) – 1(x2) – 1(1)]
= x6 + x4 + x2 – x4 – x2 – 1
= x6 – 1
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