Evaluate 999^3 using suitable identity. - Vidyadip

Question

Evaluate $999^3$ using suitable identity.

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Answer

We have, $(999)^3 = (1000 – 1)^3$
$= (1000)^3 – (1)^3 – 3(1000)(1)(1000 – 1)$
$= 1000000000 – 1 – 2997000$
$= 997002999$

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