urgent plsee
posted by Anamika .
Let a,b,c be positive integers such that a divides b^2 , b divides c^2 and c divides a^2 . Prove that abc divides (a + b + c)7 .

Is that a power?
(a+b+c)^7
? 
Haven't worked through all the details, but I think if you consider that the sum of powers of all the terms in the expansion is 7, just examine every combination.
Naturally, all the terms with a^x b^y c^z are divisible by abc.
Consider a^7
a^2 = mc
c^2 = nb
a^7 = a*(a^2)*a^2
= a*(mc)^2*a^2
= a*m^2c^2*a^2
= a*m^2*nb*a^2
= abc*m^2*n*a^2
so, it appears that all of the terms will be divisible by abc. 
Let a,b,c be positive integers such that a divides b^2 , b divides c^2 and c divides a^2 . Prove that abc divides (a + b + c)^7
Respond to this Question
Similar Questions

Advanced Math
Def: An interger "m" divides an integer "n" if there is an integer "q" such that n=mq. ? 
maths plse help me..
Let a,b,c be positive integers such that a divides b^2 , b divides c^2 and c divides a^2 . Prove that abc divides (a + b + c)7 . 
maths plse help me..
Let a,b,c be positive integers such that a divides b^2 , b divides c^2 and c divides a^2 . Prove that abc divides (a + b + c)^7 . 
maths
Let a,b,c be positive integers such that a divides b^2 , b divides c^2 and c divides a^2 . Prove that abc divides (a + b + c)^7 . 
maths
Let a,b,c be positive integers such that a divides b^2 , b divides c^2 and c divides a^2 . Prove that abc divides (a + b + c)^7 . 
Math
Find the sum of all primes q<1000 such that for some prime p<q , both q divides p^3 1 and p divides q^3 1 
heeeeeeelp math
Find the sum of all primes q<1000 such that for some prime p<q , both q divides p^31 and p divides q^31 
math waaaaarning
Find the sum of all primes q<1000 such that for some prime p<q , both q divides p^31 and p divides q^31 
mathno.theory
Find the sum of all primes q<1000 such that for some prime p<q , both q divides p^31 and p divides q^31 
math
Suppose n, a are integers. If n divides a, then n divides a^2.