Question

perform the operation and write the result in standard form. (simplify your answer completely.) (25 + 5i) + (-18 + 13i) - (12 - 18i)

Explanation:

Step1: Remove parentheses

$(25 + 5i)+(-18 + 13i)-(12 - 18i)=25 + 5i-18 + 13i-12 + 18i$

Step2: Combine real - part terms

$(25-18 - 12)+(5i+13i + 18i)$
$25-18 - 12=25-(18 + 12)=25 - 30=-5$

Step3: Combine imaginary - part terms

$5i+13i + 18i=(5 + 13+18)i=36i$

Answer:

$-5 + 36i$