Question

Multiply (2 -10i) (-5 + 3i) Show each step for credit!

Answer 1

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