1. Equations & Inequalities

Perform the indicated operation(s) and write the result in standard form. (2 - 3i)(1 - i) - (3 - i)(3 + i)

Perform the indicated operation(s) and write the result in standard form. (8 + 9i)(2 - i) - (1 - i)(1 + i)

In Exercises 65–70, perform the indicated operation(s) and write the result in standard form. (2 + i)² - (3 - i)²

In Exercises 65–70, perform the indicated operation(s) and write the result in standard form. (4 - i)² - (1 + 2i)²

In Exercises 65–70, perform the indicated operation(s) and write the result in standard form. 5√-16 + 3√-81

Evaluate (x² + 19)/(2 - x) for x = 3i.

In Exercises 95–99, perform the indicated operations and write the result in standard form. 4/(2 + i)(3 - i)

Perform the indicated operations and write the result in standard form. (1 + i)/(1 + 2i) + (1 - i)/(1 - 2i)

Perform the indicated operations and write the result in standard form. 8/(1 + 2/i)

In Exercises 95–99, perform the indicated operations and write the result in standard form. (i⁸⁵ - i⁸³)/i⁴⁵

In Exercises 1–8, add or subtract as indicated and write the result in standard form. (7 + 2i) + (1 - 4i)

In Exercises 1–8, add or subtract as indicated and write the result in standard form. (3 + 2i) - (5 - 7i)

In Exercises 1–8, add or subtract as indicated and write the result in standard form. 6 - (- 5 + 4i) - (- 13 - i)

In Exercises 1–8, add or subtract as indicated and write the result in standard form. 8i - (14 - 9i)