# Thread: Help with getting into appropriate form

1. ## 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):

$\displaystyle (2k_1 + 1) + 2k_2 = 2(k_1 + k_2) + 1$

2. 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.