Question

6. Evaluate : (999)3​

Answer 1

2,997

Step-by-step explanation:

(999)3

=> 999 x 3

=> 2,997 ans.

Hope it helps you.......

Answer 2

Answer:

(999) 3 =997002999

Step-by-step explanation:

Given : Expression (999)^3(999)

3

To find : Evaluate expression using suitable identities?

Solution :We can write the expression as

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

3

=(1000−1)

3

Now, Expand using identity,

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

=(1000)

3 −1 3−3(1)(1000)(1000−1)

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

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

(1000-1)^3=997002999(1000−1) 3 =997002999

Therefore, (999)^3=997002999(999) 3=997002999 CTC