Which of these expressions is equivalent to ac−adf+bc−bdf

?
Responses

(a−b)(c+df)
, open paren A minus b close paren times open paren c plus d f close paren

(a+b)(c+df)
, open paren A plus b close paren times open paren c plus d f close paren

(a−b)(c−df)
open paren A minus b close paren times open paren c minus d f close paren

(a+b)(c−df)

3 answers

None of the given expressions is equivalent to ac−adf+bc−bdf.

We can factor out a common factor of d from the second and fourth terms, and a common factor of c from the first and third terms, to get:

ac - adf + bc - bdf
= (ac + bc) - d(af + bf)
= c(a + b) - d(a + b)f
= (a + b)(c - df)

Therefore, the equivalent expression is (a + b)(c - df), as given in option (d).
so the bot calculates the correct choice, then denies that it was given as one of the choices. What a loser!
This bot is truly awful. It ought to be banned.