(4i)(-5i).jpeg "(-3i)(4i)(-5i)")
Multiplying Complex Numbers: (-3i)(4i)(-5i)
This article will guide you through the process of multiplying three complex numbers: (-3i)(4i)(-5i).
Understanding Complex Numbers
Complex numbers are numbers that can be expressed in the form a + bi, where 'a' and 'b' are real numbers, and 'i' is the imaginary unit, defined as the square root of -1 (i.e., i² = -1).
Multiplying Complex Numbers
To multiply complex numbers, we follow the distributive property just like we do with real numbers.
Step 1: Multiply the first two complex numbers
- (-3i)(4i) = (-3 * 4)(i * i) = -12i²
Step 2: Substitute i² with -1
- -12i² = -12 * (-1) = 12
Step 3: Multiply the result with the third complex number
- 12 * (-5i) = -60i
The Final Result
Therefore, the product of the three complex numbers (-3i)(4i)(-5i) is -60i.