No...you're wrong man. The statement a^2 -a^2 = (a-a)(a+a) simply is not true. Its basic algebra and if you cannt see that and don't know how to factor then you need to go do some studying.
I think the expression you're looking for there is: a^2 - a^2 = (a*a) - (a*a) = a(a - a) ...that is true...but if you cannt see that this isnt true...you got problems: (a-a)(a+a) = (a*a) - (a*a) <-- not true
hmm look here Treydor
(a-a)(a+a) = a^2 - a^2 - a^2 + a^2 .. you agree on that right? (a^2 is equivialent to (a*a) which you use)
Now, as I want to make the expresion similar to the left expression in my first equation I want got get rid of some factors... The expresion you mentioned a(a-a) I'm already using in my original eqation on the left side.
a^2 - a^2 - a^2 +a^2 ... but I just want a^2 - a^2 ...
So I remove the last two, which is -a^2+a^2 right... I can removei this cause its equal to zero...
And I'm left with a^2 - a^2