Question

Perform the indicated operation.

(2a2 - 8)(4a4 + 16a2 + 64)

Answer 1

We have the following expression:


`(2a^2 - 8)(4a^4 + 16a^2 + 64)`

So let's solve this problem step by step.

1st. Applying distributive property:


`(2a^2)(4a^4+16a^2+64)-8(4a^4+16a^2+64)`

2st. Applying distributive property again:


`8a^6+32a^4+128a^2-32a^4-128a^2-512`

3st. Grouping terms with the same base:


`8a^6+(32a^4-32a^4)+(128a^2-128a^2)-512`

4st. Solving, the result is:


`8a^6-512`