Question

evaluate the value of (104) to the power 3 using suitable identities

Answer 1

(104)³
=(100 + 4)³

use ( a +b)³ = a³ + b³ + 3ab( a + b)

then,
( 100 + 4)³ = ( 100)³ +(4)³ +3(100)(4)(100+4)
=(10²)³ + 64 + 1200(104)
=1000000 + 64 + 124800
=1124864 (answer )

Answer 2

Hi friend
Evaluate (104)³ 
             =(100+4)³
applying identity (a+b)³=a³+b³+3a²b+3ab²
we got, 100³+4³+3X 100² x4+ 3X 100 X 4²
           =1000000+120000+19200
           =1120192