Question

How do you find the product of `(8a^2-2)(8a^2+2)`?

Answer 1

See the entire solution process below:

Explanation:

To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

`(color(red)(8a^2) - color(red)(2))(color(blue)(8a^2) + color(blue)(2))` becomes:

`(color(red)(8a^2) xx color(blue)(8a^2)) + (color(red)(8a^2) xx color(blue)(2)) - (color(red)(2) xx color(blue)(8a^2)) - (color(red)(2) xx color(blue)(2))`

`64a^4 + 16a^2 - 16a^2 - 4`

We can now combine like terms:

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

`64a^4 - 4`