Question

Using suitable identities, evaluate (999)^3

Answer 1

Step-by-step explanation:

=(1000-1)³

then put the identity (a-b)³

Answer 2

Answer:

$(999)^3=997002999$

Step-by-step explanation:

Given : Expression $(999)^3$

To find : Evaluate expression using suitable identities?

Solution :

We can write the expression as

$(999)^3=(1000-1)^3$

Now, Expand using identity,

$(a-b)^3=a^3-b^3-3ab(a-b)$

Substitute, a=1000 and b=1

$(1000-1)^3=(1000)^3-1^3-3(1)(1000)(1000-1)$

$(1000-1)^3=1000000000-1-(3000)(999)$

$(1000-1)^3=1000000000-1-2997000$

$(1000-1)^3=997002999$

Therefore, $(999)^3=997002999$