${(25)}^{3} - {(75)}^{3} + 50^{3}$
Solve without actual multiplication

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Solution

We have,

${(25)}^{3} - {(75)}^{3} + {(50)}^{3}$

$= {(25)}^{3} [1^{3} - 3^{3} + 2^{3}]$

$= {(25)}^{3} [1 - 27 + 8]$

$= 15625 (- 18)$

$= - 281250$
Hence, this is the answer

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| (25)^{3} - (75)^{3} + (50)^{3} |

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