SOLUTION: I have been struggling on this math problem and I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!! Factoring Polynomials Factor eac

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Question 165860This question is from textbook Algebra and Trigonometry Structure and Method book 2
: I have been struggling on this math problem and I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!
Factoring Polynomials
Factor each polynomial
(p+q)^3-(p-q)^3 This question is from textbook Algebra and Trigonometry Structure and Method book 2

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor:
%28p%2Bq%29%5E3-%28p-q%29%5E3 This is a "difference of cubes" and can be factored thus:
A%5E3-B%5E3+=+%28A-B%29%28A%5E2%2BAB%2BB%5E2%29 where: A = (p+q) and B = (p-q), so...
Simplifying this we get:
Combining like-terms, we get:
%28p%2Bq%29%5E3-%28p-q%29%5E3+=+highlight%282q%283p%5E2%2Bq%5E2%29%29