Question 86 (vi)

Using suitable identities, evaluate the following:

$(995)^{2}$

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Solution

We have,
$(995)^{2} = (1000 - 5)^{2} = (1000)^{2} + (5)^{2} - 2 \times 1000 \times 5 = 1000000 + 25 - 10000$
$= 990025$ [using the identity, $(a - b)^{2} = a^{2} + b^{2} - 2 a b$ ]

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