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Math Help - Factoring Help - reorganizing terms and grouping?

  1. #1
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    Factoring Help - reorganizing terms and grouping?

    Hey all. I am having trouble factoring a question. If someone could explain how to go about doing this it would be very helpful!

    Right, here is the question...

    Factor Fully:
    a^2 - p^2 +1 +2a

    What I've done:
    a^2 - p^2 +1 +2a
    = (a + p)(a - p) + 1 +2a
    unkown how to do the rest.

    The answer in the book is: (a + 1 - p)(a + 1 + p). I've checked it and it works out.

    Thank you in advanced!
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  2. #2
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    Quote Originally Posted by Xenophobe View Post
    Hey all. I am having trouble factoring a question. If someone could explain how to go about doing this it would be very helpful!

    Right, here is the question...

    Factor Fully:
    a^2 - p^2 +1 +2a

    What I've done:
    a^2 - p^2 +1 +2a
    = (a + p)(a - p) + 1 +2a
    unkown how to do the rest.

    The answer in the book is: (a + 1 - p)(a + 1 + p). I've checked it and it works out.

    Thank you in advanced!
    You first need to re-arrange: a^2 - p^2 + 1 + 2a = a^2 + 2a + 1 - p^2 = (a + 1)^2 - p^2 = \, ....
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  3. #3
    No one in Particular VonNemo19's Avatar
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    Detroit, MI
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    Quote Originally Posted by mr fantastic View Post
    You first need to re-arrange: a^2 - p^2 + 1 + 2a = a^2 + 2a + 1 - p^2 = (a + 1)^2 - p^2 = \, ....
    In case you were wondering where to go from here...

    Difference of squares ought to do it.
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