We have the following expression:
[tex](2a^2 - 8)(4a^4 + 16a^2 + 64)[/tex]
So let's solve this problem step by step.
1st. Applying distributive property:
[tex](2a^2)(4a^4+16a^2+64)-8(4a^4+16a^2+64)[/tex]
2st. Applying distributive property again:
[tex]8a^6+32a^4+128a^2-32a^4-128a^2-512[/tex]
3st. Grouping terms with the same base:
[tex]8a^6+(32a^4-32a^4)+(128a^2-128a^2)-512[/tex]
4st. Solving, the result is:
[tex]8a^6-512[/tex]
