Question

what is the product of (5 - 2i)(3 + i)? the product is.

Explanation:

Step1: Expand using distributive property

$(5-2i)(3+i) = 5(3+i) - 2i(3+i)$

Step2: Calculate each term

$= 15 + 5i - 6i - 2i^2$

Step3: Substitute $i^2=-1$

$= 15 + 5i - 6i - 2(-1)$

Step4: Simplify like terms

$= 15 - i + 2 = 17 - i$

Answer:

$17 - i$