# Quick math question:

Discussion in 'Off Topic [BG]' started by IconBasser, May 17, 2011.

1. ### IconBasserScuba VikingSupporting Member

Feb 28, 2007
Fontana, California
does (ab)[SUP]2[/SUP] = a[SUP]2[/SUP]b[SUP]2[/SUP]?

I'm working with recursive time series regression functions for econometrics, and I'm stuck halfway through a proof because I'm not sure if this is true or not.

2. ### jp58

Dec 9, 2009
Tennessee
Yep, it is true. Not sure of hte rule for your proof though.

3. ### carlos840

Well apparently it does!

Apr 10, 2009
5. ### IconBasserScuba VikingSupporting Member

Feb 28, 2007
Fontana, California
yay!

6. ### line6man

Distributive property.

7. ### Jazz AdMi la ré sol

It's validated by the rule of distribution.

8. ### IconBasserScuba VikingSupporting Member

Feb 28, 2007
Fontana, California
indeed. It's amazing how many of these little rules you forget over the years...

9. ### Jim Nazium

Jun 19, 2007
Takoma Park, MD (DC)
ba(na)^2 = banana

10. ### Jazz AdMi la ré sol

Banana is the product of a recurving function.

yes

Apr 10, 2009

13. ### SonofJud

Dec 12, 2006
San Francisco
What if multiplication isn't commutative in this group though ?

14. ### champbassist

Apr 27, 2007
New Delhi, India.
LOL! Even I was thinking this as I read the OP's post.

Actually, IIRC, a group is commutative (Abelian) iff (a o b)^2 = a^2 o b^2 and not the other way around. On a related note, I think a group is Abelian if (a o b)^n = a^n o b^n holds for three consecutive integer values of n.

The bottom line is, OP is most likely talking about values which belong to an Abelian group and thus this discussion is perhaps useless

15. ### fdeckSupporting MemberCommercial User

Mar 20, 2004
HPF Technology LLC
Then you would be un-abel to distribute.

16. ### LSquared

Jul 28, 2009
SW Illinois USA
(ab)[SUP]2[/SUP] = (ab)*(ab) = abab = abba

a[SUP]2[/SUP]*b[SUP]2[/SUP] = aa * bb = aabb = abba.

and that's The Name Of the Game.
YouTube - Abba - The Name Of The Game

17. ### Jimbob Jones

Sep 9, 2006
Birmingham, UK
yes.

Also,

18. ### nocontrols

Apr 2, 2011
I solve algebra equations about as well as Rocky Dennis wins beauty pageants.

20. ### miholc

Aug 17, 2009
^ Assumption timexmoney is just overrated imo.

It is time+money, cause I think girls are less than evil.

If Evil>4 obviously.