Fully simplify the expression 3−2i5i

show all steps

To simplify the expression, we can use the distributive property to multiply the terms together.

First, we have:

3 * (5i) = 15i

Next, we have:

-2i * (5i) = -10i^2

Since i^2 is equal to -1, we can simplify further:

-10i^2 = -10(-1) = 10

Now, we can combine the two simplified terms:

15i + 10 = 10 + 15i

So, the fully simplified expression is 10 + 15i.