what is the value of 77!*(77!-2*54!)^3/(77!+54!)^3+54!*(2*77!-54!)^3/(77!+54!)^3

• 77!-54!
  take 77!=a, 54!=b then we get in simple (a-2b)^3/a+b solve it u get a-b as answer
• 9 years agoHelpfull: Yes(13) No(3)
• The above question can be written as 77!(77!−2∗54!)3(77!+54!)3+ 54!(2∗77!−54!)3(77!+54!)3
  Let A = 77!, B = 54!
  Then equation in the form
  a(a−2b)3(a+b)3+b(2a−b)3(a+b)3
  a(a−2b)3 = a(a3−6a2b+12ab2−8b3) = a4−6a3b+12a2b2−8ab3
  b(2a−b)3 = b(8a3−12a2b+6ab2−b3) = 8a3b−12a2b2+6ab3−b4
  Grouping similar terms, a4−6a3b+12a2b2−8ab3 + 8a3b−12a2b2+6ab3−b4
  = a4−b4+(−6a3b+8a3b) + (12a2b2−12a2b2) + (−8ab3+6ab3)
  = a4−b4+2a3b−2ab3
  = (a2−b2)(a2+b2)+2ab(a2−b2)
  = (a2−b2)[(a2+b2)+2ab]
  = (a2−b2)(a+b)2
  = (a−b)(a+b)(a+b)2
  = (a−b)(a+b)3
  Therefore, a(a−2b)3(a+b)3+b(2a−b)3(a+b)3 = (a−b)(a+b)3(a+b)3=a−b
• 8 years agoHelpfull: Yes(12) No(1)
• Ans is 77!-54!
  Let A=77! , B=54!.
  Then equation in the form
  a(a-2b)^3/(a+b)^3+b(2a-b)^3/(a+b)^3.
  Solve this and you will get (a-b)
• 9 years agoHelpfull: Yes(11) No(1)
• let a=77!
  b=54!
  from above
  a*(a-2b)^3/(a+b)^3 +b*(2a-b)^3/(a+b)^3
  by solving them by using (a-b)^3 =a^3-b^3-3a^2b+3ab^2
  finally we get answer as (a-b)
  
  therefore the answer is (77!-54!)
• 9 years agoHelpfull: Yes(4) No(0)
• Ans: 77!-54!
• 9 years agoHelpfull: Yes(3) No(1)
• assume a=77!& b=54!
  according to the expression
  (a(a-2b)^3)/(a+b)^3 + (b(2a-b)^3)/(a+b)^3)
  =(a^4+2*a^3*b -2*a*b^3-b^4)/(a+b)^3
  = (a-b)*(a+b)^3/(a+b)^3
  = (a-b)
  = (77!-54!)
• 8 years agoHelpfull: Yes(3) No(0)
• can u solve it properly..plz explain
• 9 years agoHelpfull: Yes(1) No(3)
• Please explain how to solve
• 9 years agoHelpfull: Yes(1) No(1)
• can someone ans step by step?
• 9 years agoHelpfull: Yes(1) No(0)
• plz explain it step by step
• 9 years agoHelpfull: Yes(0) No(0)
• a=77! b=54! (let)
  answer = a-b
  i.e. 77!-54!
• 9 years agoHelpfull: Yes(0) No(1)
• Can anyone plz tell me..how a-b in coming from the equation?
• 9 years agoHelpfull: Yes(0) No(0)
• let a=77!
  b=54!
  from above
  a*(a-2b)^3/(a+b)^3 +b*(2a-b)^3/(a+b)^3
  by solving them by using (a-b)^3 =a^3-b^3-3a^2b+3ab^2
  finally we get answer as (a-b)
• 8 years agoHelpfull: Yes(0) No(0)
• let a=77!
  b=54!
  from above
  a*(a-2b)^3/(a+b)^3 +b*(2a-b)^3/(a+b)^3
  by solving them by using (a-b)^3 =a^3-b^3-3a^2b+3ab^2
  finally we get answer as (a-b)
• 8 years agoHelpfull: Yes(0) No(1)
• we hve to take b=54 or -54..? n plzz explain how ..
• 7 years agoHelpfull: Yes(0) No(0)
• please explain clearly..
• 7 years agoHelpfull: Yes(0) No(0)
• ans: 77!-54! is correct.
• 6 years agoHelpfull: Yes(0) No(0)