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Answer:
Below in bold.
Step-by-step explanation:
a³+1+2a²+2a = (a + 1)(a^2 + a + 1)
a^3 - 1 = (a - 1)(a^2 + a + 1)
a^4 + a^2 + 1) = (a^2 - a + 1)(a^2 + a + 1)
So the LCM is (a + 1)(a - 1) (a^2 - a + 1)(a^2 + a + 1).