In Exercises 53–58, perform the indicated operation(s) and write the result in standard form. (2 + i)² − (3 − i)²

In Exercises 37–52, perform the indicated operations and write the result in standard form.

( −6 − √(−12)) / 48

In Exercises 37–52, perform the indicated operations and write the result in standard form.

√(−8) (√(−3) − √5 )

In Exercises 37–52, perform the indicated operations and write the result in standard form.

(3√(−5) )( −4√(−12) )

In Exercises 53–58, perform the indicated operation(s) and write the result in standard form. (2 − 3i)(1 − i) − (3 − i)(3 + i)

In Exercises 53–58, perform the indicated operation(s) and write the result in standard form. ___ ___ 5√(−16) + 3√(−81)

Evaluate x² − 2x + 2 for x = 1 + i.

Evaluate x²+19 / 2−x for x = 3i.

Given $z_1=5(\cos \frac{\pi }{6}+i\sin \frac{\pi }{6})$ and $z_2=3(\cos \frac{3\pi }{4}+i\sin \frac{3\pi }{4})$, find the product $z_1\text{・}{z}_2$.