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

Question

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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 minus b close paren times open paren c minus d f close paren

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

(a+b)(c+df)

Answer 1

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

To simplify the expression ac−adf+bc−bdf, we can factor out a common factor of d from the second and fourth terms:

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

Now, we can factor out a common factor of (a+b) from the first two terms and the last two terms:

(a+b)c - d(a+b)f = (a+b)(c-df)

Therefore, the equivalent expression is (a+b)(c-df).

Answer 2

AAAaannndd the bot gets it wrong yet again!
can't even tell when it has the right answer!

sure looks like C to me.