Answer:
the product of (3 + 2i)(5 – 2i) is 19 + 4i.
Explanation:
To multiply the complex numbers (3 + 2i)(5 – 2i), we can use the FOIL method:
(3 + 2i)(5 – 2i)
= 3(5) + 3(-2i) + 2i(5) + 2i(-2i) [multiply First terms, Outer terms, Inner terms, and Last terms]
= 15 - 6i + 10i - 4(i²) [simplify i² to -1]
= 15 + 4 + 4i [combine like terms]
= 19 + 4i
Therefore, the product of (3 + 2i)(5 – 2i) is 19 + 4i.