Can you prove or disprove the existence of a positive integer P, such that P can convert the expression;
$6ab+a+b$ into the form $6xy+x-y$ by subtracting from it.
What I am trying to find is a positive integer P that makes Z, in the following equation,expressible in the form; $6xy+ x - y$
for all $a$ and $b$ where $a,b,x,y,∈N $ , $P>0 $
Say if ;
$Z=2K+1-P$, and you want to find and expression P that would make Z be of the form $2a-1$
Then $P=4$ would be an example of such a number, Since then;