To factor the polynomial 6x²y + 18xy + 12x + 36, let's follow the factor by grouping method:
Step 1: Group the terms: (6x²y + 18xy) + (12x + 36)
Step 2: Factor out the common factor from each group:
In the first group, we can factor out 6xy: 6xy(x + 3).
In the second group, we can factor out 12: 12(x + 3).
Now, we have:
6xy(x + 3) +
12(x + 3)
Step 3: Notice that (
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