The value of (-3) $^{3}$ + (7) $^{3}$ + (-4) $^{3}$ is :

252

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264

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121

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343

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Solution

The correct option is A 252
In the identity ,( $a + b + c$ )( $a^{2} + b^{2} + c^{2} - a b - b c - c a$ ) = $a^{3} + b^{3} + c^{3} - 3 a b c$ , if ( $a + b + c$ ) = 0 , then $a^{3} + b^{3} + c^{3} = 3 a b c$ .
Since, (-3)+(-4)+(7) = 0.
Hence, (-3) $^{3}$ + (7) $^{3}$ + (-4) $^{3}$ = 3(-3)(-4)(7) = 252.

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The value of $4^{3} \times 3^{3}$ is:

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