Question 86 (ii)

Using suitable identities, evaluate the following:

$(49)^{2}$

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Solution

We have,
$(49)^{2} = (50 - 1)^{2}$
$= (50)^{2} + 1^{2} - 2 \times 50 \times 1$ [using the identity, $(a - b)^{2} = a^{2} + b^{2} - 2 a b$ ]
$= 2500 + 1 - 100 = 2401$

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