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      Question

      If a =

      src='https://static.ixambee.com/public/images/quesimg/HPCL Chartered Accountants Exam/Quantitative Aptitude/Algebra/77084_1369453.gif'> and b =  , then the value of (a2+b2+ab) is
      A 324 Correct Answer Incorrect Answer
      B 322 Correct Answer Incorrect Answer
      C 323 Correct Answer Incorrect Answer
      D 325 Correct Answer Incorrect Answer

      Solution

      a =   and b =       So here, ab  =       = 1 & a+b =         = = 2{ (√5)2+ 22 }/1 = 2(5+4) =18 then the value of (a2+b2+ab) = a2+b2+2ab -ab = (a+b)2 -ab = 182 - 1 = 324 -1 = 323.

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