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ఓ 1.8.4 Quiz: Multiplying and Dividing Complex Numbers
Question 6 of 10
Find the product of these complex numbers.
\[
(2-3 i)(1-i)=
\]
A. $5+5 i$
B. $-1+5 i$
C. $5-5 i$
D. $-1-5 i$
Answer
Final Answer: \(\boxed{-1-5i}\)
Step 1 ：The question is asking for the product of two complex numbers. The multiplication of complex numbers is similar to the multiplication of binomials in algebra. We can use the distributive property (also known as the FOIL method in this case) to multiply the two complex numbers.
Step 2 ：Let's denote the first complex number as a = (2-3i) and the second complex number as b = (1-i).
Step 3 ：By applying the FOIL method, we find that the product of a and b is (-1-5i).
Step 4 ：This matches with option D in the question.
Step 5 ：Final Answer: \(\boxed{-1-5i}\)
