a-8-a-4-1-a-4-a-2-1-

Question Number 57245 by ANTARES VY last updated on 01/Apr/19

\frac{a^{8} + a^{4} + 1}{a^{4} + a^{2} + 1} = ?

Answered by tanmay.chaudhury50@gmail.com last updated on 01/Apr/19

a^{8} + a^{4} + 1

a^{8} + 2 a^{4} + 1 - a^{4}

{(a^{4} + 1)}^{2} - {(a^{2})}^{2}

(a^{4} + a^{2} + 1) (a^{4} - a^{2} + 1)

s o a n s i s

a^{4} - a^{2} + 1