Question

Evaluate (997³) by using suitable identities.

Answer 1

Answer:

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Answer 2

Answer:

We have,

(997)

3

⇒(1000−3)

3

Since,

(x−y)

3

=x

3

−y

3

−3xy(x−y)

Therefore,

=(1000)

3

−(3)

3

−3×1000×3(1000−3)

=1000000000−27−9000×(1000−3)

=1000000000−27−9000000+27000

=1000027000−9000027

=991026973

Hence, this is the answer.