Question 86 (xx)

Using suitable identities, evaluate the following:

$(339)^{2} - (161)^{2}$

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Solution

We have,
$(339)^{2} - (161)^{2} = (339 + 161) (339 - 161) = 500 \times 178$
$= 89000$ [using the identity, $a^{2} - b^{2} = (a + b) (a - b)$ ]

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