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Question

If y=5+252, then y2= _________.


A

161+725

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B

161725

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C

161

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D

1445

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Solution

The correct option is A

161+725


y=5+252

y=5+252×5+25+2

=(5+2)2(5)2(2)2

y=(5)2+2(5)(2)+(2)254

=5+45+41

=9+45

y2=(9+45)2

=(9)2+2(9)(45)+(45)2

=81+725+80

=161+725


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