The value of 3 $^{3}$ - 2 $^{3}$ is

-19

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None of these

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Solution

The correct option is D 19
$∵$ 3 $^{3}$ - 2 $^{3}$
= (3 - 2){(3) $^{2}$ + 3 x 2 + (2) $^{2}$ }
{formula : a $^{3}$ - b $^{3}$ = (a - b)(a $^{2}$ + ab +b $^{2}$ )}
=(1)(9 + 6 + 4)
=1 x 19 = 19

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