Question 6(iii)
Using identities, evaluate:
$102^{2}$

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Solution

$102^{2} = (100 + 2)^{2} = (100)^{2} + 2 \times 100 \times 2 + (2)^{2}$
$[U s i n g i d e n t i t y (a - b)^{2} = a^{2} - 2 a b + b^{2}]$
$= 10000 + 400 + 4 = 10404$

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