Find the value of; (209*144)^2 + (209*209)+(209*144)+(144*144) = ?
a) 905863729
b) 905368729
c) 905729368
d) 65

• its like ab2+a2+b2+ab
  solve it (a+b)2-(ab(1-ab))
  124609+905739120=905863729
• 11 years agoHelpfull: Yes(11) No(3)
• Let (209*144)^2 + (209*209)+(209*144)+(144*144)= S
  put 144 =P and 209 = Q
  then the above equatXion becomes as
  (PQ)^2 + Q^2 + PQ + P^2 = (P+Q)^2 - PQ +(PQ)^2
  = (P+Q)^2 + PQ( PQ -1)
  put back the values
  = (144+209)^2 + 144*209(144*209 - 1)
  = 353^2 + 30096*30095
  =124609 + 905739120
  =905863729
• 11 years agoHelpfull: Yes(3) No(0)