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  1. If x = 2 + √3, y = 2 - √3, then the value of
    x2 + y2
    is
    x3 + y3
    1. 7
      38
    2. 7
      40
    3. 7
      19
    4. 7
      26
Correct Option: D

Given that :- x = 2 + √3, y = 2 - √3
x + y = 4; xy = 4 – 3 = 1

x2 + y2
=
( x + y )2 - 2xy
x3 + y3( x + y )3 - 3xy( x + y )
Putting the above given values , we get
x2 + y2
=
16 - 2
=
14
x3 + y364 - 3 x 452
x2 + y2
=
7
x3 + y326



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