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Factoring
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Factoring by Grouping

Consider the polynomial ac+ad+bc+bd. Observe that the terms of the polynomial have no common factor other than 1. Notice, however, that the first two terms have a as common factor, while the last two terms have b as common factor. In cases like this, a possible technique that you can do is factoring by grouping.

By the associative property of addition, you can rewrite the given polynomial as (ac+ad)+(bc+bd).

By factoring the resulting polynomial in each group, you will get the following.

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