Evaluate:

(i) (95)³

(ii) (999)³

(i) We know that,

(a – b)³ = a³ – b³ – 3ab (a – b)

Using this formula, we get

= (100 – 5)³

= (100)³ – (5)³ – 3 × 100 × 5 (100 – 5)

= 1000000 – 125 – (1500 × 95)

= 857375

(ii) We know that,

(a – b)³ = a³ – b³ – 3ab (a – b)

Using this formula, we get

= (1000 – 1)³

= (1000)³ – (1)³ – 3 × 1000 × 1 (1000 – 1)

= 1000000000 – 1 – 3000 (1000 – 1)

= 1000000000 – 1 – (3000 × 999)

= 997002999