15 Possible values for expression  Summary and Q&A
TL;DR
Determine the possible value of p minus n given the equation p squared minus n squared is equal to 12.
Questions & Answers
Q: What is the equation that needs to be solved in this analysis?
The equation that needs to be solved is p squared minus n squared = 12, with the objective of finding the value of p minus n.
Q: How can the equation be simplified?
The equation can be simplified by factorizing p squared minus n squared as (p plus n)(p minus n) = 12.
Q: What condition must be satisfied for p minus n to be a positive value?
For p minus n to be positive, p must be greater than n, as stated in the problem.
Q: How can potential values for p minus n be determined?
By considering all possible combinations of positive integers that multiply to give 12, such as 12 times 1, 6 times 2, and 4 times 3, we can determine potential values for p plus n and p minus n.
Summary & Key Takeaways

Given that p is greater than n and both are positive integers, find the potential value of p minus n.

Factorizing p squared minus n squared leads to (p plus n)(p minus n) = 12.

Evaluate various combinations of positive integers such as 12 times 1, 6 times 2, and 4 times 3 to determine possible values for p minus n.