How do you factor ac + 2ad + 2bc + 4bd?

2 Answers
Anwar Hussain
Jun 30, 2015

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

Explanation:

In other factorize, we need to take out common factors.
We have here;
ac+2ad+2bc+4bd
Take out a as a common factor from first two variables and 2b from last two variables, we get;
=a(c+2d)+2b(c+2d)
Now, again take out (c+2d) as a common factor, we get
=(c+2d)(a+2b)
This is our final answer.

Alan P.
Jun 30, 2015

ac+2ad+2bc+4bd
color(white)("XXXX")=(a+2b)(c+2d)

Explanation:

Given ac+2ad+2bc+4bd

Regroup as
color(white)("XXXX")color(red)((ac+2ad)) + color(blue)((2bc+4bd))

Extract common factor from each term independently
color(white)("XXXX")color(red)((a)(c+2d)) + color(blue)((2b)(c+2d))

Extract the factor common to both terms
color(white)("XXXX")(color(red)(a)+color(blue)(2b))(c+2d)

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