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Estimating Sum or Difference

Question

Find the value of $48^{3} - 30^{3} - 18^{3}$ .

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Solution

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$48^{3} = 48 \times 48 \times 48 = 110592 30^{3} = 30 \times 30 \times 30 = 27000 18^{3} = 18 \times 18 \times 18 = 5832 48^{3} - 30^{3} - 18^{3} = 110592 - 27000 - 5832 = 77760$

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