1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Proving an Equation

  1. Jan 28, 2009 #1
    1. The problem statement, all variables and given/known data
    I have to prove this equation:
    m + (n + (p + q)) = (m + n) + (p + q) = ((m + n) + p) + q

    2. Relevant equations
    Commutative property of addition and multiplication
    (m+n) = (n+m), (mn) = (nm)
    Associative property of addition and multplication
    (m+n)+p = m+(n+p), (mn)p = m(np)
    Distributive property
    m * (n+p) = mn + mp

    3. The attempt at a solution
    Only being allowed to use certain axioms, I ruled out all except the ones in the relevant equations.
    So far I'm pretty much stumped as to how to prove the equation. Going from the first part to the second is difficult. I tried to manipulate the first part of the equation to use commutative and I got nowhere. How do I get myself in the right direction?
  2. jcsd
  3. Jan 28, 2009 #2
    You should use associativity, not commutativity.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Proving an Equation