1. k= 3-4i and m= -2+9i. Write each expression in the form a + bi, where a and b are real numbers:
a. k + m
b. k-m

Question 1:

For this case we have that by definition of properties of powers it is fulfilled that:

So, if we have the following expression:

We can rewrite it as:

So we have to:

Question 2:

For this case we have that by definition of properties of powers it is fulfilled that:

If we have the following expression:

We can rewrite it as:

So we have