Question

Factor Completely: 12a3d2 − 6ad3.
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Answer 1

now you can get the GCF, as follows:

between 12 and 6 = 6
" a^3 and a = a (the smallest always)
" d^2 and d^3 = d^2 ( the smallest)

Answer 2

So the GCF is 6ad^2

Answer 3

Correct. So write the GCF, and then next to it, a single set of parenthesis. The parenthesis should have as many terms as the thing you're pulling the GCF out of, so in this case, it will have 2.

\(\Large 6ad^2(\text{_ } \pm \text{ _})\)

Answer 4

Now your job is to fill in those spots in the parenthesis so that when you distribute the GCF in, the result is what you started with.

Answer 5

Ask yourself, "What can I write here so that if I multiplied the GCF in, I would get ______?"