What is the sum (7+8i) + (-8+9i)

-1 + 17i

Step-by-step explanation:

Because this is addition, you do not have to distribute the positive 1, from the addition sign, into the second term. The equation will stay the same.

Step 1: Identify like-terms (terms with the same variables and powers)

Like terms: 7 and - 8; 8i and 9i

Step 2: Rewrite the equation with the collected like-terms placed together

(7 + [-8]) + (8i + 9i) Result: (7 - 8) + (8i + 9i)

Step 2: Simplify by combining like-terms

Result: - 1 + 17i