This expression is a difference of squares: 
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Answer:
4,600
Step-by-step explanation:
To solve this problem, we need to multiply add 15% of 4,000 back to 4,000.
First, change 15% into a decimal:
15% -> -> 0.15
Next, multiply 4,000 by 0.15:
The last step is to add the 600 back to 4,000:
The population of Smallburg the following year was 4,600.