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Math Help - Factoring sum of two squares

  1. #1
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    Factoring sum of two squares

    How would I factor 2(x^2 + y^2) to this x^2 + 2xy + y^2 + x^2 - 2xy + y^2. I know they are equal but I don't see a path to get there.

    Thanks for any suggestions.
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  2. #2
    Junior Member PaulAdrienMauriceDirac's Avatar
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    Re: Factoring sum of two squares

    Quote Originally Posted by nicnicman View Post
    How would I factor 2(x^2 + y^2) to this x^2 + 2xy + y^2 + x^2 - 2xy + y^2. I know they are equal but I don't see a path to get there.

    Thanks for any suggestions.
    Hello nicnicman.

    2(x^2+y^2)=(x^2+y^2)+(x^2+y^2), which is the same as x^2+2xy+y^2+x^2-2xy+y^2 because 2xy and -2xy cancel each other. I hope you understand.
    Last edited by PaulAdrienMauriceDirac; October 31st 2012 at 03:12 AM.
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  3. #3
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    Re: Factoring sum of two squares

    Yes, I do. Thank you.
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