Evaluate the following using suitable identities 998 3


Asked by admin @ in Math viewed by 335 People


Evaluate (998)^3 by using suitable identity

Answered by admin @



998=1000-2
998³=(1000-2)³,which is in the form of (a-b) ³
(a-b) ³=a³-b³-3ab(a-b)
that implies, 1000³-2³-3*1000*2(1000-2)
=1000000000-8-6000(998)
=1000000000-5988000-8
=994011992
therefore, 998³=994011992

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