Use identities to solve: $(97)^{2}$

9, 659

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9, 409

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9, 009

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9, 209

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Solution

The correct option is A $9, 409$
$(97)^{2}$
$= (100 - 3)^{2}$
using, $(a - b)^{2} = a^{2} - 2 a b + b^{2}$
$= (100)^{2} - 2 (100) 3 + (3)^{2}$
$= 10000 - 600 + 9$
$= 9409$

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