Question

How do you FOIL `(Z-2)*(Z-6)`?

Answer 1

Multiply the First terms then Outside terms then Inside terms then Last terms; sum the result to get `Z^2-8Z+12`

Explanation:

Product of
`color(white)("XXXX")`F irst terms: `Z xx Z = Z^2`
`color(white)("XXXX")`O utside terms: `Z xx (-6) = -6Z`
`color(white)("XXXX")`I nside terms:`(-2) xx Z = -2Z`
`color(white)("XXXX")`L ast terms: `(-2) xx (-6) = 12`

Sum
`color(white)("XXXX")` `Z^2 -6Z-2Z+12 = Z^2-8Z+12`