Which shows the factored form of the expression below? 100-p^16 (show all steps you took to get to answer)

Question

Which shows the factored form of the expression below? 100-p^16 (show all steps you took to get to answer)

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niczorrrr 3 years 2021-08-14T17:49:24+00:00 1 Answers 13 views 0

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  1. Latifah
    0
    2021-08-14T17:51:13+00:00
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    Answer:

    100-p^{16}=(10-p^{8})(10+p^{8})

    Step-by-step explanation:

    Factoring

    Binomial factoring is a common task when solving a great variety of math problems.

    One of the best-known formula that helps us to factor a binomial is:

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

    It can easily be identified because the expression is the difference between two perfect squares.

    The expression

    100-p^{16}

    can be factored with the formula above since it’s the difference of two squares:

    a=\sqrt{100}=10

    b=\sqrt{p^{16}}=p^{8}

    The expression is factored as follows:

    \boxed{100-p^{16}=(10-p^{8})(10+p^{8})}

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