Answer:
[tex]\huge{\boxed{\sf{ -20i^{2} + 48i - 16}}}[/tex]
Step-by-step explanation:
( 8 - 4i ) ( 5i - 2 )
Use the distributive property to multiply each term of the first binomial by each term of the second binomial.
⇒[tex]8 ( 5i - 2 ) - 4i ( 5i - 2 )[/tex]
⇒[tex]40i - 16 - 20i^{2} + 8i[/tex]
Combine like terms.
Like terms are those which have the same base.
⇒[tex]- 20i^{2} +40i+ 8i - 16[/tex]
⇒[tex]-20i^{2} + 48i - 16[/tex]
Hope I helped!
Best regards!
~TheAnimeGirl