To multiply and simplify the expression 3, 5i, 2, and 4i, we will first multiply the real numbers together, and then the imaginary parts separately.
1. First, let’s look at the real numbers: 3 and 2. When we multiply these, we get:
3 * 2 = 6
2. Next, we will multiply the imaginary numbers: 5i and 4i. Using the property of imaginary numbers (i2 = -1), we have:
5i * 4i = 20i² = 20(-1) = -20
3. Now we combine the results from our multiplications of the real numbers and the imaginary numbers:
6 – 20 = -14
So, the final result after multiplying and simplifying the expression 3, 5i, 2, and 4i is -14.