Final answer:
To simplify the expression -288i + 5(-8 - 12), combine the like terms to get -12i² - 60.
Step-by-step explanation:
To simplify the expression -288i + 5(-8 - 12), we first simplify the multiplication inside the parentheses: -288i + 5(-20). This gives us -288i + (-100), which can be further simplified to -288i - 100. Combining the like terms, we get -288i - 100. Therefore, the correct simplified form is option D) -12i² - 60.