Find the value of ${(106)}^{3} - {(94)}^{3}$

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Solution

$(106)^{3} - (94)^{3}$
$= (106 - 94) ((106)^{2} + (94)^{2} + (106) (94))$
$= (106 - 94) ((106 + 94)^{2} - (106) (94))$
$= 12 (40000 - 9964)$
$= 360432$

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