Question

Evaluate 1000^3 - 999^3 by using suitable identities

Answer 1

question:

Evaluate 1000^3 - 999^3 by using suitable identities

answer :

(999)

3

=(1000−1)

3

=(1000)3−(1)3−3(1000)(1)(1000−1)...(∵(x−y)

3

= 3−y3 −3xy(x−y))

=1000000000−1−3000(999)

=1000000000−1−2997000=997002999

hope it helps you ☺️