Evaluate: $(101)^{3}$ using the cubic identity.

1030001

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1033301

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1030301

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None of these

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Solution

The correct option is B $1030301$
$(101)^{3} \Rightarrow$ by the formula $o f (100 + 1)^{3} \Rightarrow (100^{3} + 1^{3} + 3 \times 100 \times 1 (100 + 1)) \Rightarrow 1030301$

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