
Algebra PreAlgebra and Basic Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
January 5th, 2017, 12:21 AM  #1 
Senior Member Joined: Jul 2011 Posts: 398 Thanks: 15  algebraic expression
If $a(ac)^2+b(ba)^2+c(cb)^2=0$ then prove that $a=b=c$

January 5th, 2017, 12:50 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 18,232 Thanks: 1437 
You would need additional information, such as being given that a, b, and c are real and nonnegative.

January 5th, 2017, 01:08 AM  #3 
Senior Member Joined: Jul 2011 Posts: 398 Thanks: 15 
here $a,b,c\geq 0$

January 5th, 2017, 03:13 AM  #4 
Global Moderator Joined: Dec 2006 Posts: 18,232 Thanks: 1437 
That implies $a(ac)^2=b(ba)^2=c(cb)^2=0$, from which it's easy to show that $a = b = c$. 

Tags 
algebraic, algebric, expression 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Writing algebraic expression  Chikis  LaTex Help  6  August 6th, 2015 11:09 AM 
How to simplify algebraic expression  daigo  Algebra  4  July 15th, 2012 01:55 AM 
Algebraic Expression of Sin  RMG46  Algebra  4  June 15th, 2010 12:25 PM 
Rewrite the expression as an algebraic expression in x  kev085  Algebra  1  April 24th, 2009 05:06 AM 
Algebraic Expression Cubed  EkajArmstro  Algebra  1  February 8th, 2009 05:10 PM 