Question 7(i)
Using $a^{2} - b^{2} = (a + b) (a - b),$ find
$51^{2} - 49^{2}$

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Solution

$51^{2} - 49^{2} = (51 + 49) (51 - 49)$
$[U s i n g i d e n t i t y (a - b) (a + b) = a^{2} - b^{2}]$
$= 100 \times 2 = 200$

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