Question 6(i)
Using identities, evaluate:
$71^{2}$

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Solution

$71^{2} = (70 + 1)^{2} = (70)^{2} + 2 \times 70 \times 1 + (1)^{2}$
$[U s i n g i d e n t i t y (a - b)^{2} = a^{2} - 2 a b + b^{2}]$
$= 4900 + 140 + 1 = 5041$

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