Question 86 (iii)

Using suitable identities, evaluate the following:

$(103)^{2}$

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Solution

We have,
$(103)^{2} = (100 + 3)^{2} = (100)^{2} + 3^{2} + 2 \times 100 \times 3 = 10000 + 9 + 600$
$= 10609$ [using the identity, $(a + b)^{2} = a^{2} + b^{2} + 2 a b$ ]

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