Question

divide into multipliers

Answer 1

a^4 + a^2 + 1 = a^4 + 2a^2 + 1 - a^2 = (a^2 + 1)^2 - a^2 = (a^2 + 1 - a)(a^2 + 1 + a)

Answer 2

$a^4+a^2+1=(a^4+2a^2+1)-a^2=(a^2+1)^2-a^2=$

$(a^2+1-a)(a^2+1+a)=(a^2-a+1)(a^2+a+1)$