Question

Can someone help me factor this expression?
ac + 2ad + 2bc + 4bd

Answer 1

Group the first two terms and the last two terms and factor out the common factor.
That is the first step. Can you do that?

Answer 2

=a(c+2d)+2b(c+2d)=(c+2d)(a+2b)

Answer 3

ac + 2ad + 2bc + 4bd
= (ac + 2ad) + (2bc + 4bd)
= a(c + 2d) + 2b(c + 2d)
= (a + 2b)(c + 2d)