What will be factors of 5^3n - 3^3n ?

• (5^3)^n-(3^3)^n
  this can be written as...(5^n)^3-(3^n)^3
  a^3-b^3=(a-b)*(a^2+b^2+ab)..
  (5^n)^3-(3^n)^3)=(5^n-3^n)(5^2n+3^2n+15^n)..
  so the factors are (5^n-3^n)&(5^2n+3^2n+15^n)
  
  
  
  
  
  
  
  
  
  
  
  
  
• 10 years agoHelpfull: Yes(40) No(3)
• answer is 2
• 10 years agoHelpfull: Yes(2) No(0)
• factors will be(5^n-3^n)(25^n+27^n+9^n)
• 10 years agoHelpfull: Yes(0) No(3)
• http://www.tiger-algebra.com/ see this site
• 10 years agoHelpfull: Yes(0) No(1)
• The above can be written as in the form : {(125)^n} -{(27)^n}
  And we know that (a-b) is the factor of {(a^n)-(b^n)}
  so, (125-27)=98 , is one of the factors of the above problem
• 7 years agoHelpfull: Yes(0) No(0)