The answer is 457 because when you add 381 and 76 together you get 457
calculating each of the products
noting that i² = (√- 1 )² = - 1
(1 + 2i)(8i) ( distribute by 8i )
= 8i + 16i² = - 16 + 8i ← complex number
(1 + 2i)(2 - 5i) ( expand using FOIL )
= 2 - 5i + 4i - 10i²
= 2 - i + 10 = 12 - i ← complex number
(1 + 2i)(1 - 2i) ( expand using FOIL )
= 1 - 2i + 2i - 4i²
= 1 + 4 = 5 ← real number
(1 + 2i)(4i) ( distribute by 4i )
= 4i +8i² = - 8 + 4i ← complex number
(1 + 2i)(1 - 2i) is the only product which results in a real number
Answer:
The answer is 30.
Step-by-step explanation:
Don't worry about the x and y it just make your head confuse, that's what my teacher said just add up the number.
Answer:

Step-by-step explanation:
Let be
, which can be simplified solely by algebraic means. We proceed to describe all the steps needed for simplification:
1)
Given.
2)
Distributive and associative properties.
3)
/Result