Answer:
6x² + 17x + 12
Explanation:
Using the "FOIL" method used to be one of my favorite math concepts during my middle school days! It stands for First, Outsides, Insides, and Last, which is describing which terms we will multiply to each other.
For First, we are going to multiply 3x and 2x.
For Outsides, we are going to multiply 3x and 3.
For Insides, we are going to multiply 4 and 2x
For Last, we are going to multiply 4 and 3
Once we solve for these we will place them all in the same equation.
3x(2x) = 6x²
3x(3) = 9x
4(2x) = 8x
4(3) = 12
Equation looks like: 6x² + 9x + 8x + 12
Now we combine like terms and our simplified expanded equation is:
6x² + 17x + 12
Because the original equation in the question does not feature an equal sign, we leave the expanded version as is and do not attempt to solve for x.