Final answer:
To simplify the complex number (8-3i)², we can use the formula (a + bi)² = a² + 2abi + (bi)². Plugging in the values a = 8 and b = -3, we simplify to 55 - 48i.
Step-by-step explanation:
To simplify the complex number (8-3i)², we can use the formula (a + bi)² = a² + 2abi + (bi)². Plugging in the values a = 8 and b = -3, we have (8-3i)² = 8² + 2(8)(-3i) + (-3i)². Simplifying the terms, we get 64 + (-48i) + 9i². Since i² = -1, we can further simplify to 64 - 48i - 9 = 55 - 48i.