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Math Help - Reduce error

  1. #1
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    Reduce error

    Show that (1+x)2 can be more accurately determined from (x+2)x + 1

    Now in (1+x) squared you have to perform 2 multiplications.

    In (x+2)x + 1 you perform 1 multiplication and one addition.

    Why is one multiplication and one addition better than the square of (x+1)

    Please help.
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  2. #2
    MHF Contributor

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    Quote Originally Posted by AUCC View Post
    Show that (1+x)2 can be more accurately determined from (x+2)x + 1

    Now in (1+x) squared you have to perform 2 multiplications.

    In (x+2)x + 1 you perform 1 multiplication and one addition.

    Why is one multiplication and one addition better than the square of (x+1)

    Please help.
    There is no way of saying that (x+2)x+ 1 will be more accurate than (x+ 1)^2 without saying what kinds of errors you are talking about. And that may depend upon what numbers x is close to.
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  3. #3
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    Oh i failed to mention that when x is very very small and only upto a certain no of decimal places is taken into the calculation.
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