( 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 * 100 * 2 ( 100 + 2 )
⇒ 1000000 + 8 + 600 ( 102 )
⇒ 1000000 + 8 + 61200
⇒ 1061208
Therefore the answer is 1061208.