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Question


If x =
3 + 1
and y =
3 - 1
, then the value of (x2 + y2) is:
3 - 1
3 + 1

Options:
A .  10
B .  13
C .  14
D .  15
Answer: Option C


x =
(3 + 1)
x
(3 + 1)
=
(3 + 1)2
=
3 + 1 + 23
= 2 + 3.
(3 - 1)
(3 + 1)
(3 - 1)
2



y =
(3 - 1)
x
(3 - 1)
=
(3 - 1)2
=
3 + 1 - 23
= 2 - 3.
(3 + 1)
(3 - 1)
(3 - 1)
2


If X = 3 + 1and  Y = 3 - 1, Then The Value Of (x2 + Y2) Is:3... x2 + y2 = (2 + 3)2 + (2 - 3)2


   = 2(4 + 3)


   = 14


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