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Thread: Help with getting into appropriate form

  1. #1
    Junior Member
    Mar 2010

    Help with getting into appropriate form

    I'm not too good at algebra and need help with getting something into the appropriate form. If I have something like:

    $\displaystyle (2k_1 + 1) + (2k_2 + 1)$ What would be the appropriate form?

    I have an example of the following, but I'm not sure how to apply it to the above equation (in other words, how to handle the extra +1):

    $\displaystyle (2k_1 + 1) + 2k_2 = 2(k_1 + k_2) + 1$
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  2. #2
    Super Member Quacky's Avatar
    Nov 2009
    Windsor, South-East England
    I don't think you can do much with this, unfortunately. The key thing to acknowledge is that:
    $\displaystyle (2k_{1}+1)+(2k_{2}+1)$

    $\displaystyle =2k_{1}+2k_{2}+1+1$ This is, as I'm sure you're aware, down to the commutative law of addition: the order in which you add things does not matter if there is only addition present in the sum.

    $\displaystyle =2k_{1}+2k_{2}+2$

    $\displaystyle =2(k_{1}+k_{2}+1)$
    You multiply everything inside the bracket by what is outside the bracket, and vice versa to factorize, as with this case.
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