What is the value of $8^{3} - 3^{3}$ (without solving the cubes)?

485

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845

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584

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none of these

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Solution

The correct option is C $485$
$(8)^{3} - (3^{3}) \Rightarrow (5^{3} + 3^{3} + 3 \times 3 \times 5 (3 + 5)) - 3^{3} \Rightarrow 360 + 125 \Rightarrow 485$

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