. Evaluate the following using suitable identities (1001)^3
Best Answer
Explanation:
Rewriting the given expression,
(1001)3=(1000+1)3y
Using the identity (x+y)3=x3+3x2y+3xy2+y3,
x=1000,y=1
⇒(1000+1)3=(1000)3+3(1000)(1)+3(1000)(1)2+(1)3
=1000000000+3000000+3000+1
=1003003001
Final answer:
Hence, the value of (1001)3is 1003003001.
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