Question

How do you find the product `(8h-4n)^2`?

Answer 1

See the entire solution process below:

Explanation:

We can rewrite this expression as:

`(8h - 4n)(8h - 4n)`

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

`(color(red)(8h) - color(red)(4n))(color(blue)(8h) - color(blue)(4n))` becomes:

`(color(red)(8h) xx color(blue)(8h)) - (color(red)(8h) xx color(blue)(4n)) - (color(red)(4n) xx color(blue)(8h)) + (color(red)(4n) xx color(blue)(4n))`

`64h^2 - 32hn - 32hn + 16n^2`

We can now combine like terms:

`64h^2 + (-32 - 32)hn + 16n^2`

`64h^2 - 64hn + 16n^2`