PowerPoint Presentation
Multiplying Complex NumbersAdapted from Walch Education
Key Concepts Simplify any powers of i before evaluating products
of complex numbers.
Find the product of the first terms, outside terms, inside
terms, and last terms. Note: The imaginary unit i follows the
product of real numbers.
4.3.3: Multiplying Complex Numbers2
Key Concepts, continued
A complex conjugate is a complex number that when multiplied by
another complex number produces a value that is wholly real.
The complex conjugate of a + bi is a bi, and the complex
conjugate of a bi is a + bi.
The product of a complex number and its conjugate is the
difference of squares, a2 (bi)2, which can be simplified. a2 b 2i 2
= a2 b2 (1) = a2 + b2
4.3.3: Multiplying Complex Numbers3
PracticeFind the result of i 2 5i.4.3.3: Multiplying Complex
Numbers4The SolutionSimplify any powers of i.
Multiply the two terms. Simplify the expression, if possible, by
simplifying any remaining powers of i or combining like terms. 5(i)
= 5i 4.3.3: Multiplying Complex Numbers5
Can youFind the result of (7 + 2i)(4 + 3i). 4.3.3: Multiplying
Complex Numbers6Thanks for watching~ms. dambreville
