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Factoring by Grouping

In this video, we are going to look at how to factor by grouping.
For example:
To factor 12x^3+18x^2+10x+15, first think about it in two pieces, cutting it in half. Then we will look at the first two terms, and take out the greatest common factor, which is 6x^2. This will leave us with
Then, we do the same thing for the next two terms. The greatest common factor here is 5. When we take out the greatest common factor, we are left with
Notice that the same exact factors are written in both sets of parentheses. From here we can factor out the (2x+3) from each term. This will result in a final answer of

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