Answer:
a^4+2ab^2+b^4+a^16+2ab^8+b^16
Step-by-step explanation:
(a^2+b^2)^2+(a^8+b^8)^2
(a^2+b^2)^2=(a^2+b^2)(a^2+b^2)
=a^2(a^2+b^2)+b^2(a^2+b^2)
=a^4+(ab)^2+(ba)^2+b^4
=a^4+2ab^2+b^4
(a^8+b^8)^2=(a^8+b^8)(a^8+b^8)
=a^8(a^8+b^8)+b^8(a^8+b^8)
=a^16+(ab)^8+(ba)^8+b^16
=a^16+2ab^8+b^16
(a^2+b^2)^2+(a^8+b^8)^2=(a^4+2ab^2+b^4)+(a^16+2ab^8+b^16)
the answer is a^4+2ab^2+b^4+a^16+2ab^8+b^16
i think it is simplified answer
