One question has last part like difference between two terms is 9 and product of two
numbers is 14, what is the squares of sum of numbers?

• Let the two terms be a,b
  Given difference between a&b=9
  product of a&b=14
  using algebraic formulae,[(a+b)^2] -[(a-b)^2]=4ab
  =>[(a+b)^2]=56+81=137
• 13 years agoHelpfull: Yes(10) No(3)
• Let x and y be two terms
  their Difference is: x-y=9
  and their product is: xy=14
  Given Question is: x^2+y^2=?
  Required formula is: (x-y)^2=x^2+y^2-2ab
  Then substitute all value from above into the formula
  we get x^2+y^2=109 as Answer
  
  
• 13 years agoHelpfull: Yes(4) No(6)
• My assumption is wrong in previous solution
  Here given logic is: squares of sum of numbers i.e., (a+b)^2=?
  but not sum of squares of numbers i.e., a^2+b^2=?
  
  .....in this Solution " SWETHA.R " is Correct.
  
  
• 13 years agoHelpfull: Yes(3) No(2)
• x-y=9
  xy=14
  x^2+y^2=(x-Y)^2+2xy
  =(9)^2+2(14)=81+28=109
  because (x-y)^2=x^2+y^2-2xy
  
• 13 years agoHelpfull: Yes(2) No(2)