Question

Use the formula to find the values of the following:

(1) 47³
(2) 58³
(3) 99³
(4) 106³
(5) 197³
(6) 209³

Answer 1

(1) 47 can be expressed as (50 − 3).
Or (47)³ = (50 − 3)³ = 125000 − 27 − 22500 + 1350
= 103823

(2) 58 can be expressed as (60 − 2).
Or (58)³ = (60 − 2)³ = 216000 − 8 − 21600 + 720
= 195112

(3) 99 can be expressed as (100 − 1).
Or (99)³ = (100 − 1)³ = 1000000 − 1 − 30000 + 300
= 970299

(4) 106 can be expressed as (110 − 4).
Or (106)³ = (110 − 4)³ = 1331000 − 64 − 145200 + 5280
= 1191016

(5) 197 can be expressed as (200 − 3).
Or (197)³ = (200 − 3)³ = 8000000 − 27 − 360000 + 5400
= 7645373

(6) 209 can be expressed as (210 − 1).
Or (210)³ = (210 − 1)³ = 9261000 − 1 − 132300 + 630
= 9129329