Evaluate using a suitable identity (998)^3 – InterviewSolution

1.

Evaluate using a suitable identity (998)^3

Answer»

here 998=1000-2

998³=(1000-2)³,which is in the FORM of (a-b) ³

(a-b) ³=a³-b³-3ab(a-b)

⇒, 1000³-2³-3*1000*2(1000-2)

=1000000000-8-6000(998)

=1000000000-5988000-8

=994011992

∴ 998³=994011992

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