Without actually calculating the cubes find the value of $55^{3} - 25^{3} - 30^{3}$

12340

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124750

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123750

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12345

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Solution

The correct option is B $123750$
$55^{3} - 25^{3} - 30^{3}$
$= 55 * 55 * 55 - 25 * 25 * 25 - 30 * 30 * 30$
$= 3025 * 55 - 625 * 25 - 900 * 30$
$= 166375 - 15625 - 27000$
$= 150750 - 27000$
$= 123750$

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