Write the expression (7 – 7i) + (–8 – 2i) in the form a + bi

To write the expression (7 – 7i) + (–8 – 2i) in the form a + bi, we need to simplify and combine like terms.

Step 1: Distribute the negative sign to the terms in the second parentheses.
(7 – 7i) + (–8 – 2i) = 7 – 7i – 8 – 2i

Step 2: Combine like terms together. In this case, we have the real numbers (7 and -8) and the imaginary numbers (-7i and -2i).
(7 – 7i) + (–8 – 2i) = (7 - 8) + (-7i - 2i)

Simplifying this further, we get:
(7 – 7i) + (–8 – 2i) = -1 - 9i

Since the expression does not have any more like terms, we can rewrite it in the form a + bi as:
-1 - 9i

Combine the whole numbers and the i's

(7+-8) + (-7i+-2i)

=-1+-9i

Alison,

Could would you tell me if the problem listed below is correct:

(4+5i)(4-5i)=
16+-i