Question

Evaluate (998)cube
Help

Answer 1

Step-by-step explanation:

(1000-2)³=(1000)³-(2)³-3(1000)²(2)+3(1000)(2)²

=1000000000-8-6(1000000)+3000(8)

=1000000000-8-6000000+24000

=1000024000-6000008

=994,011,992

identity=a³-b³-3a²b+3ab²

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Answer 2

Answer:

994,011,992

Step-by-step explanation:

Given : (998)³

We can write this as :

→ (1000 - 2)³

Identity : (a - b)³ = a³ - b³ - 3ab(a - b)

Here, a = 1000, b = 2

→ (1000)³ - (2)³ - 3(1000)(2)(1000 - 2)

→ 1000000000 - 8 - 6000(998)

→ 1000000000 - 8 - 5988000

→ 1000000000 - 5988008

→ 994,011,992