(a4 + a2 + 1)/(a2 + a + 1)2
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(a⁴+a²+1)/(a²+a+1)²
= [(a²)²+2a²+1-a²]/(a²+a+1)²
=[(a²+1)²-a²]/(a²+a+1)²
=[(a²+1+a)(a²+1-a)]/(a²+a+1)²
= (a²+1-a)/(a²+a+1)
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