Multiply and simplify the product of (3 – 5i) (– 2 + 4i).

A complex number is in the form of x + yi where x is a real part and y is an imaginary part.

Answer: The product of (3 – 5i) (– 2 + 4i) is 14 + 22i.

Let us solve step by step to find the product of (3 – 5i) and (– 2 + 4i).

Explanation:

By multiplying these complex numbers, we get

⇒ (3 – 5i) (– 2 + 4i) = - 6 + 12 i + 10 i - 20 i²

⇒ - 6 + 22 i - 20 i²

⇒ - 6 + 22 i - 20 (- 1) 

⇒ 14 + 22 i

Thus, the product of (3 – 5i) (– 2 + 4i) is 14 + 22 i.