The correct option is A 9409(97)^2 = nbsp;(100 3)^2 Using the identity, (a b)^2 = nbsp;(a)^2 2ab + (b)^2 (100 3)^2 = nbsp;(100)^2 2(100)(3) + ( ...

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Expansion of (a - b)^2

The value of ...

Question

The value of (97) $^{2}$ is ______.

9409

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9709

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9189

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9949

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Solution

The correct option is A 9409
(97) $^{2}$ = (100 - 3) $^{2}$

Using the identity,
(a-b) $^{2}$ = (a) $^{2}$ - 2ab + (b) $^{2}$

(100 - 3) $^{2}$ = (100) $^{2}$ - 2(100)(3) + (3) $^{2}$
= 9409

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Use suitable identity and find the value of $97^{2}$

1 + \frac{4}{7} + \frac{9}{7^{2}} + \frac{16}{7^{3}} + \frac{25}{7^{4}} + \dots upto \infty

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