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Question

Use suitable identity and find the value of  972



Your Answer
A

10409

Your Answer
B

90409

Correct Answer
C

9409

Your Answer
D

11049


Solution

The correct option is B

9409


972  = (1003)2

Using the identity (ab)2 = (a22ab+b2)
                                               = (10022(100)(3)+32)
                                               = 10000 - 600 + 9
                                               = 9409

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