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Binary Operation

If a∗ b= a ...

Question

If $a * b = a^{3} + b^{3}$ on $z$ , then $(1 * 2) * 0 = . . . . . . . .$

0

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729

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81

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27

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Solution

The correct option is C $729$
$a * b = a^{3} + b 3$
So $1 * 2 = 1^{3} + 23 = 1 + 8 = 9$
$(1 * 2) * 0 = 9 * 0 = 9^{3} + 0^{3} = 729 + 0 = 729$

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