How do you multiply and simplify the product of 3, 5i, 2, and 4i?

To multiply and simplify the expression involving the numbers 3, 5i, 2, and 4i, you can follow these steps:

1. Group the terms: Start by rearranging the expression for clarity:
• (3 * 2) * (5i * 4i)
2. Multiply the real numbers: First, multiply the real components:
• 3 * 2 = 6
3. Multiply the imaginary numbers: Next, handle the imaginary part:
• 5i * 4i = 20i²
4. Substitute the value of i²: Remember that i² = -1:
• 20i² = 20(-1) = -20
5. Add the results: Now, combine the results from the real and imaginary parts:
• 6 – 20 = -14

Therefore, the simplified product of 3, 5i, 2, and 4i is:

-14