Evaluate the following using suitable identit | vedclass

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Question

We have 

$998 =1000-2 $

$	herefore$  $(999)^{3} =(1000-2)^{3}=(1000)^{3}-(2)^{3}-3(1000)(2)[1000-2]$

$=1000000000-8-6000[1000-2]$

Vedclass · Accepted Answer

$994011992$

Vedclass · Answer

We have 

$998 =1000-2 $

$	herefore$  $(999)^{3} =(1000-2)^{3}=(1000)^{3}-(2)^{3}-3(1000)(2)[1000-2]$

$=1000000000-8-6000[1000-2]$

$=1000000000-8-6000000-12000$

$=994011992$

Evaluate the following using suitable identities : $(998)^{3}$

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