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Question 6ivU...

Question

Question 6(iv)
Using identities, evaluate:
$998^{2}$

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Solution

$998^{2} = (1000 - 2)^{2} = (1000)^{2} - 2 \times 1000 \times 2 + (2)^{2}$
$[U s i n g i d e n t i t y (a - b)^{2} = a^{2} - 2 a b + b^{2}]$
$= 1000000 - 4000 + 4 = 996004$

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