# 15 Possible values for expression | Summary and Q&A

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May 27, 2015
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15 Possible values for expression

## TL;DR

Determine the possible value of p minus n given the equation p squared minus n squared is equal to 12.

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### 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.