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Cube Numbers

Question 86 x...

Question

Question 86 (xxi)

Using suitable identities, evaluate the following:

$(729)^{2} - (271)^{2}$

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Solution

We have,
$(729)^{2} - (271)^{2} = (729 + 271) (729 - 271) = 1000 \times 458$
$= 458000$ [using the identity, $a^{2} - b^{2} = (a + b) (a - b)$ ]

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