Algebra-1

To factor the polynomial 6x² + 8xy + 6x + 8y, let's follow the factor by grouping method:

Step 1: Group the terms: (6x² + 8xy) + (6x + 8y)

Step 2: Factor out the common factor from each group:
In the first group, we can factor out 2x: 2x(3x + 4y).
In the second group, we can factor out 2: 2(3x + 4y).

Now, we have: 2x(3x + 4y)