To factor the polynomial 5x²y + 15xy + 10x + 30, let's follow the factor by grouping method:
Step 1: Group the terms: (5x²y + 15xy) + (10x + 30)
Step 2: Factor out the common factor from each group:
In the first group, we can factor out 5xy: 5xy(x + 3).
In the second group, we can factor out 10: 10(x + 3).
Now, we have:
5xy(x + 3) +
10(x + 3)
Step 3: Notice that (
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