Factorize 8! — 5(7!)

A. 4! 7!
B. 3 — 7!
C. 4 x 7!
D. 3! x 7!

1 answer

8! - 5(7!) can be factorized as follows:

8! - 5(7!) = (8)(7!) - 5(7!)

Now, both terms have a common factor of 7!, so we can factorize it out:

(8)(7!) - 5(7!) = (8 - 5)(7!) = 3(7!)

So the factorization of 8! - 5(7!) is 3(7!), which is equivalent to option D.