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Math Help - Simplify

  1. #1
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    Simplify

    How could I simplify

    \frac{(n+b)}{w+(n+b)}\cdot\frac{b}{w+b}<br />
    Last edited by vexiked; October 2nd 2009 at 09:14 AM.
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  2. #2
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    Solve or simplify?
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  3. #3
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    Simplify
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  4. #4
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    Quote Originally Posted by vexiked View Post
    How could I simplify
    \frac{(n+b)}{w+(n+b)}\cdot\frac{b}{w+b}
    As it stands there is no way to simplify the expression.
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  5. #5
    Junior Member ibnashraf's Avatar
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    maybe the following might help:

    try using a substitution: a = (n + b),

    so we have,

    \frac{a}{(w+a)}. \frac{b}{(w+b)}

    multiply out the denominator and then re-substitute for 'a' and simplify

    i ended up with \frac{b(n+b)}{(w+b)((w+b)^2 + n)}

    perhaps someone could verify this ....
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  6. #6
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    Quote Originally Posted by ibnashraf View Post
    i ended up with \frac{b(n+b)}{(w+b)((w+b)^2 + n)}
    Is that a simplification?
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  7. #7
    Junior Member ibnashraf's Avatar
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    Quote Originally Posted by Plato View Post
    Is that a simplification?
    lol, i rather call it a 'complication' compared to the original expression.

    my humble apologies though ...
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  8. #8
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    Cross Multiply

    I think simplify means to cross multiply.
    <br />
\frac{(n+b)}{w+(n+b)}\cdot\frac{b}{w+b}<br />

    cross multiply and you will get:
    <br />
(n+b)(w+b)=b[w+(n+b)]<br />
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  9. #9
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by vexiked View Post
    How could I simplify

    \frac{(n+b)}{w+(n+b)}\cdot\frac{b}{w+b}<br />
    Perhaps if we rewrite, it will become apparent that this thing is factored as nicely as possible.



    \frac{(n+b)}{w+(n+b)}\cdot\frac{b}{w+b}=\frac{b(n+  b)}{(w+b)(w+n+b)}

    Note that

    1. Nothing cancels

    2. there is no way to factor any more completely.

    Therefore, this quotient is in its simplest form.

    If you apply those two rules, you'll never have these questions again.
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  10. #10
    Senior Member pacman's Avatar
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    von nemo 19 , ok
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  11. #11
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    (n+b) / w + (n+b) x b / w + b

    Notice above that (n+b) can cancel out leaving us with 1 / w Now, multiply that by b / w+b, and I think it becomes b / w^2 + wb. Then, b cancels out and I think we're left with 1 / w^2 + w
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  12. #12
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    Quote Originally Posted by ElectroNerd View Post
    (n+b) / w + (n+b) x b / w + b

    Notice above that (n+b) can cancel out leaving us with 1 / w Now, multiply that by b / w+b, and I think it becomes b / w^2 + wb. Then, b cancels out and I think we're left with 1 / w^2 + w
    You cannot cancel the n+b. You cannot cancel terms with an operation sign like (n+b) / w+(n+b)
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  13. #13
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    Does the op have an answer to his question?
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