Question 86 (xviii)

Using suitable identities, evaluate the following:

$(9.7)^{2} - (0.3)^{2}$

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Solution

We have,
$(9.7)^{2} - (0.3)^{2} = (9.7 + 0.3) (9.7 - 0.3) = 10 \times 9.4$
$= 94$ [using the identity, $a^{2} - b^{2} = (a + b) (a - b)$ ]

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