Question 86 (xvii)

Using suitable identities, evaluate the following:

$(69.3)^{2} - (30.7)^{2}$

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Solution

We have,
$(69.3)^{2} - (30.7)^{2} = (69.3 + 30.7) (69.3 - 30.7) = 100 \times 38.6$
$= 3860$ [using the identity, $(a + b) (a - b) = a^{2} - b^{2}$ ]

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