Question 86 (xix)

Using suitable identities, evaluate the following:

$(132)^{2} - (68)^{2}$

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Solution

We have,
$(132)^{2} - (68)^{2} = (132 + 68) (132 - 68) = 200 \times 64$
$= 12800$ [using the identity, $a^{2} - b^{2} = (a + b) (a - b)$ ]

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