Evaluate (1001)3 using suitable identities.
Given expression can be written as
(1001)3=(1000+1)3
We know that
(a+b)3=a3+b3+3a2b+3ab2
⇒(1000+1)3=(1000)3+(1)3+3(1000)2(1)+3(1000)(1)2=1000000000+3000000+3000+1=1003003001
Hence the result is 1003003001