Evaluate 1000^3 - 999^3 by using suitable identities

1.	Evaluate 1000^3 - 999^3 by using suitable identities
Answer» <html><body><p>question: </p><p></p><p>Evaluate <a href="https://interviewquestions.tuteehub.com/tag/1000-265236" style="font-weight:bold;" target="_blank" title="Click to know more about 1000">1000</a>^3 - 999^3 by using <a href="https://interviewquestions.tuteehub.com/tag/suitable-633281" style="font-weight:bold;" target="_blank" title="Click to know more about SUITABLE">SUITABLE</a> identities</p><p></p><p>answer : </p><p></p><p>(999) </p><p>3</p><p> =(1000−1) </p><p>3</p><p> </p><p></p><p>=(1000)3−(1)3−3(1000)(1)(1000−1)...(∵(x−y) </p><p>3</p><p> = 3−y3 −3xy(x−y))</p><p></p><p>=1000000000−1−3000(999)</p><p></p><p>=1000000000−1−2997000=997002999</p><p></p><p></p><p></p><p>hope it <a href="https://interviewquestions.tuteehub.com/tag/helps-1018140" style="font-weight:bold;" target="_blank" title="Click to know more about HELPS">HELPS</a> you ☺️</p></body></html>

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