Question

How do you find the product of `(x + 2)(x - 2)`?

Answer 1

`x^2-4`

Explanation:

`"each term in the second bracket is multiplied by each term"`
`"in the first bracket"`

`(color(red)(x+2))(x-2)`

`=color(red)(x)(x-2)color(red)(+2)(x-2)`

`=(color(red)(x)xx x)+(color(red)(x)xx-2)+(color(red)(2)xx x)+(color(red)(2)xx2)`

`=x^2+(-2x)+2x+4`

`=x^2-2x+2x+4`

`=x^2-4`