Final answer:
The expression (3 - 7i)^2 is equal to -40 - 42i.
Step-by-step explanation:
To find the value of the expression (3 - 7i)^2, we can use the concept of complex number multiplication. When we square a complex number, we multiply it by itself.
(3 - 7i)^2 = (3 - 7i)(3 - 7i)
Using the FOIL method, we can expand and simplify this expression:
(3 - 7i)(3 - 7i) = 9 - 21i - 21i + 49i^2
Simplifying further, we get:
9 - 42i + 49(-1) = 9 - 42i - 49
Combining like terms, we have:
-40 - 42i