Question

How do you multiply `(x + 2)(x - 6)`?

Answer 1

`(x+2)(x-6) = x^2-4x-12`

Explanation:

We can use the FOIL mnemonic to help identify the combinations we need to multiply and add:

`(x+2)(x-6) = overbrace((x*x))^"First" + overbrace((x*-6))^"Outside" + overbrace((2*x))^"Inside" + overbrace((2*-6))^"Last"`

`=x^2-6x+2x-12`

`=x^2-4x-12`