Question 86 (iv)

Using suitable identities, evaluate the following:

$(98)^{2}$

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Solution

We have,
$(98)^{2} = (100 - 2)^{2} = (100)^{2} + (2)^{2} - 2 \times 100 \times 2 = 10000 + 4 - 400$
$= 9604$ [using the identity, $(a - b)^{2} = a^{2} + b^{2} - 2 a b$ ]

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