Multiply the following two binomials.
1. (3x + 1)
2. (2x - 4)
To multiply the two binomials (3x + 1) and (2x - 4), we will use the distributive property.
First, we need to multiply each term in the first binomial by each term in the second binomial:
(3x) * (2x) + (3x) * (-4) + (1) * (2x) + (1) * (-4)
Next, simplify each product:
6x^2 - 12x + 2x - 4
Now, combine like terms to get the final expression:
6x^2 - 10x - 4
Therefore, the product of (3x + 1) and (2x - 4) is 6x^2 - 10x - 4.