SOLUTION: how can you tell if a polynomial is the difference between two squares

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Question 465659: how can you tell if a polynomial is the difference between two squares

Found 2 solutions by Alan3354, solver91311:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I think you mean, eg, a%5E2+-+b%5E2
The 2 terms are squares, and there's a minus sign.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The other tutor's answer is absolutely correct, but it may be helpful at some point to remember that ANY polynomial term can be considered a square. Hence:




is the difference of two squares just as much as is. You simply have to re-write it as:




and then the factorization would be:




Here's another example:




can be considered as the difference of two squares if you write it:




And would then factor as:




Where is the imaginary number defined by

John

My calculator said it, I believe it, that settles it
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