Question

How do you find the product of `(z-5)^2`?

Answer 1

Either FOIL or use the pattern, to obtain:
`z^2-10z+25`

Explanation:

You can either write `(z-5)^2` = (z-5)(z-5) and then multip[ly using FOIL, or you can remember the patterns we have for these squared binomials:
`(a+b)^2=a^2+2ab+b^2`
`(a-b)^2=a^2-2ab+b^2`