Question

Evaluate ; (102)³ using suitable identity

Answer 1

102^3 = (100+2)^3
= (100^3)+(2^3)+{3*(100^2)*2}+(3*100*
{2^2})
= 1000000+8+60000+1200
= 1061208

Answer 2

Answer :

Using identity, answer is 1061208

Step-by-step explanation :

( 102 )³

It 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

Hence, the required answer is 1061208.