Question 86 (v)

Using suitable identities, evaluate the following:

$(1005)^{2}$

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Solution

We have,
$(1005)^{2} = (1000 + 5)^{2} = (1000)^{2} + 5^{2} + 2 \times 1000 \times 5 = 1000000 + 25 + 10000$
$= 1010025$ [using the identity, $(a + b)^{2} = a^{2} + b^{2} + 2 a b$ ]

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