Question

Plz solve this problem now. My name is soumya. My boyfriend name is Sushant Singh Rajput
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Answer 1

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

Hope it Helps you.

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