Question

Evaluate (998)^3 without multiplying directly.
Please help me fast , it's urgent...​

Answer 1

Here is ur answer :

We have (998)3 = (1000 – 2)3

Using identity (x – y)3 = x3 – y3 – 3xy(x – y) we get

(1000 – 2)3 = 10003 – 23 – 3(1000)(2)(1000 – 2)

= 1000000000 – 8 – 5988000

= 994011992

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Answer 2

(998)^3

= (1000-2)^3

=(1000)^3 - (2)^3 - 3 * 1000 * 2 (1000 - 2)

=1000000000 - 8 - 6000 (998)

= 999999992 - 5988000

=994011992    (answer)