Evaluate the following using suitable identities (102)3

Given (102)3

(102)3 can be written as (100 + 2)3

Using identity here;

(a + b)3 = a3 + b3 + 3ab (a + b)

⇒ (100 + 2)3

⇒ (100)3 + (2)3 + 3 x 100 x 2 (100 + 2)

⇒ 1000000 + 8 + 600 (102)

⇒ 1000000 + 8 + 61200

We get,

⇒ 1061208

Hence, the answer is 1061208

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