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Question

If p=322, then p2+1p2= ______.


A

34

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B

35

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C

36

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D

38

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Solution

The correct option is A

34


p=322

1p=1322×3+223+22

=3+22(3)2(22)2

=3+2298

=3+22

p+1p=322+3+22

= 6

We know (p+1p)2=p2+1p2 + 2

p2 + 1p2 = (p+1p)2- 2

=(6)22

= 36 - 2

= 34


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