Final answer:
A regular expression for the set anbm: (n + m) is odd can be written as (a2b2)k*a where k is a non-negative integer.
Step-by-step explanation:
A regular expression for the set anbm where (n + m) is odd can be written as (a2b2)ka where k is a non-negative integer.
This regular expression matches a block of a followed by a block of b, repeated an even number of times, followed by an additional a. The exponent k represents the number of times this pattern is repeated.
For example, if we substitute k = 0, the regular expression becomes aa, which represents the case where n = 1 and m = 0, making (n + m) odd.