Question

1. multiply the complex numbers.

$(-7 + i)(3 - 2i)$

Explanation:

Step1: Apply distributive property (FOIL)

$(-7)(3) + (-7)(-2i) + i(3) + i(-2i)$

Step2: Calculate each term

$-21 + 14i + 3i - 2i^2$

Step3: Substitute $i^2=-1$

$-21 + 14i + 3i - 2(-1)$

Step4: Simplify real and imaginary parts

$-21 + 2 + (14i + 3i)$

Step5: Combine like terms

$-19 + 17i$

Answer:

$-19 + 17i$