Simplify the following 515*515*515-221*221*221/(515*515+515*221+221*221)

• 515*515*515-221*221*221/(515*515+515*221*221+221)
  
  =[(515)^3 - (221)^3 ] / [(515)^2 + 515*221 + (221)^2]
  
  if x = 515 & y = 221 then exp is
  
  (x^3 - y^3)/(x^2 + xy + y^2) which is equal to (x-y)
  
  (x^3 - y^3)/(x^2 + xy + y^2)=(x-y)
  
  [(515)^3 - (221)^3 ] / [(515)^2 + 515*221 + (221)^2] = (515-221)= 294
  
  ans: 294
• 10 years agoHelpfull: Yes(6) No(0)
• wee know that a^3-b^3=(a-b)*(a^2+a*b+b^2)
  therefore the given problemis in the form of
  =(a^3-b^3)/(a^2+a*b+b^2)
  +a-b
  =515-221
  =294
  
• 10 years agoHelpfull: Yes(2) No(0)
• a^3-b^3=(a-b)(a^2+ab+b^2).
  so....
  (a^3-b^3)/(a^2+ab+b^2)=(a-b)
  =(515-221)
  =294
  ans 294
• 10 years agoHelpfull: Yes(1) No(0)
• simply 515-221=294
• 10 years agoHelpfull: Yes(1) No(0)
• (515^3-221^3)/((515^2)+515*221+(221^2))
  (x^3-y^3)/(x^2+xy+y^2)=x-y
  so,ans=515-221=294
• 10 years agoHelpfull: Yes(0) No(0)
• by a^3-b^3/(a^2+ab+b^2)=a-b
  515-221=294
• 10 years agoHelpfull: Yes(0) No(0)
• 303 by using the formula
• 9 years agoHelpfull: Yes(0) No(0)
• (a3-b3)/(a2+ab+b2)=(a-b)
• 9 years agoHelpfull: Yes(0) No(0)
• (a^3 -b^3)=(a-b)(a^2 +ab + b^2)
  use this formula where a=515
  b=221
  hence 515-221=294
• 9 years agoHelpfull: Yes(0) No(0)
• (a^3 -b^3)/(a^2+ab+b^2)=a-b
  here a=515 b=221
  ans=515-221=294
• 9 years agoHelpfull: Yes(0) No(0)
• 294
  a^3-b^3 formula have to apply
• 7 years agoHelpfull: Yes(0) No(0)