Thread: Factoring problem.

Hello, I am reviewing some algebra concepts for a class I will be taking in the spring. I a trying to factor the polynomial: x⁴-11x²y²+y⁴. I know the answer is (x²-3xy-y²)(x²+3xy-y²). A hint was given to add a term to make a complete square, and then immediately subtract the term which yields a difference of two squares which can then be factored. I cannot figure out what term to add to this equation to put it in the form of a difference of two squares. If someone could explain to me the steps to take in order to factor this, or provide some intuition on how this works I would greatly appreciate it. Thank you for your time and consideration.

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Thank you for your help, I don't know why I didn't see that before.