Evaluate using identities: ( $98^{2}$ )

8564

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9654

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9512

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9604

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Solution

The correct option is D 9604
$98^{2}$ can be rewritten as $(100 - 2)^{2}$ .
Using the identity,
$(a - b)^{2} = a^{2} - 2 a b + b^{2}$ , we get,
$98^{2}$ = $(100 - 2)^{2}$
= $100^{2} - (2 \times 100 \times 2) + 2^{2}$
= $10000 - 400 + 4$
= $9604$

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