Answer:
The answer is
20 + 56i
Step-by-step explanation:
(2 -10i) (-5 + 3i)
Using FOIL multiply each term in the first bracket by the terms in the second bracket
That's
2(-5) + 2(3i) - 10i(-5) - 10i(3i)
Multiply the numbers and simplify
We have
- 10 + 6i + 50i - 30i²
From the rules of imaginary numbers
i² = - 1
So we have
- 10 + 56i - 30(- 1)
- 10 + 56i + 30
Simplify
30 - 10 + 56i
We have the final answer as
20 + 56i
Hope this helps you
