Find the product. Simplify your answer. (3q+4)(4q+2) square

To find the product of \((3q+4)(4q+2)\), we will use the distributive property (also known as the FOIL method for binomials). FOIL stands for First, Outer, Inner, Last, which are the terms we need to multiply together.1. **First**: Multiply the first terms in each binomial: 2. **Outer**: Multiply the outer terms in the binomials: 3. **Inner**: Multiply the inner terms in the binomials: 4. **Last**: Multiply the last terms in each binomial: Now, combine all these results: Next, combine the like terms ( and ): So, the simplified product of \((3q+4)(4q+2)\) is: