Realize the following operations and express the result in a+bi: (4 + 5i)( - 4 + √( - 16) ) ​

Question

Realize the following operations and express the result in a+bi:


`(4 + 5i)( - 4 + √( - 16) )`
​

Answer 1

-4(i+9)

Explanation:

(4+5i)(-4+sqrt(-16))

(4+5i)(-4+4i)

-16-20i+16i+20i^2

-16-4i+20(-1)

-16-4i-20

-4i-16-20

-4i-36

-4(i+9)