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Finding Square of a Number Using Identity

Question 7iii...

Question

Question 7(iii)
Using $a^{2} - b^{2} = (a + b) (a - b),$ find
$153^{3} - 147^{2}$

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Solution

$153^{2} - 147^{2} = (153 + 147) (153 - 147)$
$[U s i n g i d e n t i t y (a - b) (a + b) = a^{2} - b^{2}]$
$= 300 \times 6 = 1800$

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