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Discover how to multiply complex numbers! Just like multiplying regular numbers, you can use the distributive property or FOIL method. Remember, the imaginary unit 'i' squared equals -1. So, …

We can multiply two complex numbers in polar form by multiplying their moduli and adding their arguments. Created by Sal Khan.

Learn how to multiply two complex numbers. For example, multiply (1+2i)⋅ (3+i). A complex number is any number that can be written as a + b i , where i is the imaginary unit and a and b …

Multiply complex numbers by single terms that are either real or pure imaginary.

We can multiply complex numbers graphically on the complex plane by rotating and scaling. Multiplying a complex number z by -3i rotates and scales z. Created by Sal Khan.

Learn about the conjugate of complex numbers, how to add and divide using conjugates, and the key property that multiplying a complex number by its conjugate produces a real number.

Review the polar form of complex numbers, and use it to multiply, divide, and find powers of complex numbers.

Algebra of Complex Numbers Learn Adding complex numbers Subtracting complex numbers Multiplying complex numbers

Multiplying a complex number by its conjugate results in a real number. This is useful for simplifying complex numbers and is similar to the difference of squares.