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Question

The value of 162+122 is equal to


A

400

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B

410

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C

420

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D

440

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Solution

The correct option is A

400


The given expression is

162+122

=(14+2)2+(142)2

=2(142+22) [(x+y)2+(xy)2=2(x2+y2)]

=2(196+4)

=2×200

=400


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