Answer: a^4 + 2
Step-by-step explanation:
a^4 + 1 + 1/a^4
= (a^4 x a^4)/a^4 + a^4/a^4 + 1/a^4
= (a^8 + a^4 + 1)/a^4
= [(a^8 + a^4) + 1]/a^4
= a^4(a^4 + 1) + 1)/a^4 (cancel a^4 from both the numerator and denominator)
= a^4 + 1 + 1
= a^4 + 2
(a^4 x a^4)