Expanding the Expression: (3x + 1)(2x + 4)
This expression represents the product of two binomials. To find the answer, we can use the FOIL method:
First: Multiply the first terms of each binomial: (3x) * (2x) = 6x² Outer: Multiply the outer terms: (3x) * (4) = 12x Inner: Multiply the inner terms: (1) * (2x) = 2x Last: Multiply the last terms: (1) * (4) = 4
Now, we add all the terms together: 6x² + 12x + 2x + 4
Finally, combine like terms: 6x² + 14x + 4
Therefore, the expanded form of (3x + 1)(2x + 4) is 6x² + 14x + 4.