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Evaluate the following using suitable identities: (i) (99)^3

7.(i)  Evaluate the following using suitable identities:

    (i)    (99)^3

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R Riya

We can rewrite   (99)^3  as

\Rightarrow (99)^3=(100-1)^3

We will use identity

(a-b)^3=a^3-b^3-3a^2b+3ab^2

Here,  a=100 \ and \ \ b= 1

Therefore, 

(100-1)^1=(100)^3-(1)^3-3.(100)^2.1+3.100.1^2

                      = 1000000-1-30000+300= 970299

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