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Math Help - simplifying algebraic expressions

  1. #1
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    simplifying algebraic expressions

    express 3^{n+2}-3^{n}+10(3^{n-1}) in the simplest form.
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  2. #2
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    Quote Originally Posted by mastermin346 View Post
    express 3^{n+2}-3^{n}+10(3^{n-1}) in the simplest form.
    3^{n+2}-3^{n}+10(3^{n-1})= 3^n 3^2-3^{n}+10(3^n) (3^{-1})
    3^{n+2}-3^{n}+10(3^{n-1})= 3^n (3^2-1+10(3^{-1}))


    -- hope it'll help --
    (pertamax euy...)
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  3. #3
    Super Member bigwave's Avatar
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    3^{n+2}-3^{n}+10(3^{n-1})<br />
\Rightarrow<br />
3^{n}3^{2}-3^{n}+10(3^n3^{-1})

    so

    9(3^{n})-3^{n}+\frac{10}{3}(3^n)

    now combine like terms

    \frac{34}{3}3^n
    Last edited by bigwave; July 22nd 2010 at 12:07 AM. Reason: combined terms
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  4. #4
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    Quote Originally Posted by bigwave View Post
    3^{n+2}-3^{n}+10(3^{n-1})<br />
\Rightarrow<br />
3^{n}3^{2}-3^{n}+10(3^n3^{-1})

    so

    9(3^{n})-3^{n}+\frac{10}{3}(3^n)

    now combine like terms

    \frac{34}{3}3^n
    Surely \frac{34}{3}\cdot 3^n = 34 \cdot 3^{n - 1} is simpler...
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