Find the value of $51^{3}$ - $50^{3}$ .

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Solution

Using the formula of $a^{3}$ - $b^{3}$ = (a - b) ( $a^{2}$ + $b^{2}$ + ab )

$51^{3}$ - $50^{3}$ =(51 - 50) ( $51^{2}$ + $50^{2}$ + (51)(50) ) = 7651

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