Question

(8-4i)(5i-2)
I need the steps

Answer 1

`\huge{\boxed{\sf{ -20i^(2) + 48i - 16}}}`

Explanation:

( 8 - 4i ) ( 5i - 2 )

Use the distributive property to multiply each term of the first binomial by each term of the second binomial.

⇒
`8 ( 5i - 2 ) - 4i ( 5i - 2 )`

⇒
`40i - 16 - 20i^(2) + 8i`

Combine like terms.

Like terms are those which have the same base.

⇒
`- 20i^(2) +40i+ 8i - 16`

⇒
`-20i^(2) + 48i - 16`

Hope I helped!

Best regards!

~TheAnimeGirl