(2i).jpeg "(7i)(2i)")
Multiplying Complex Numbers: (7i)(2i)
This article will guide you through the process of multiplying the complex numbers (7i) and (2i).
Understanding Complex Numbers
Complex numbers are numbers that involve the imaginary unit 'i', where i² = -1. They are typically written in the form a + bi, where 'a' and 'b' are real numbers.
Multiplication Process
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Distribute: Treat the multiplication like you would with any other binomial. Multiply each term of the first complex number by each term of the second: (7i)(2i) = (7i * 2i)
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Simplify: Combine the coefficients and remember that i² = -1: (7i * 2i) = 14i² 14i² = 14(-1)
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Final Result: 14(-1) = -14
Therefore, the product of (7i) and (2i) is -14.