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19 September, 19:43

What is the completely factored form of p4 - 16? (p - 2) (p - 2) (p + 2) (p + 2) (p - 2) (p - 2) (p - 2) (p - 2) (p minus 2) (p + 2) (p squared + 2 p + 4) (p minus 2) (p + 2) (p squared + 4)

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  1. 19 September, 20:08
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    (p-2) (p+2) (p^2+4)

    Step-by-step explanation:

    p^4 - 16

    p^2^2 - 4^2

    This is the difference of squares

    (a^2 - b^2) = (a-b) (a+b)

    (p^2 - 4) (p^2+4)

    Rewriting

    (p^2 - 2^2) (p^2+4)

    We have another difference of squares

    (p-2) (p+2) (p^2+4)
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