Question

evaluate each of the following by using suitable identity (106)3 and 998)3​

Answer 1

Step-by-step explanation:

( 106 )³ = ( 100 + 6 )³

Using identity ( a + b )³ = a³ + b³ + 3a²b + 3ab²

= 100³ + 6³ + 3 (100)²(6) + 3 (100)(6)²

= 1000000 + 216 + 3(10000)(6) + 3(100)(36)

= 1000000 + 216 + 180000 + 10800

= 11,91,016

(998)³ = ( 1000 – 2 )³

Using Identity ( a – b )³ = a³ – b³ + 3a²b – 3ab²

= 1000³ – 2³ + 3 (1000)²(2) + 3(1000)(2)² – 3(1000)(2)²

= 1000000000 – 8 + 3 ( 1000000)(2) – 3(1000)(4)

= 1000000000 – 8 + 6000000 – 12000

= 1,005,987,992

Answer 2

Step-by-step explanation:

Answer= given as attachment