2. Find the value of each of the following using property 5:
(i) 10³-9³
(ii) 12³-11³
(iv) 21³-20³
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Answer:
a³– b³ = (a – b) (a2 + ab + b2 )
10³-9³= (10-9)(10²+10×9+9²)
= (1)(100+90+81)
= 271
12³-11³ = (12-11)(12²+12×11+11²)
= (1)(144+132+121)
= 397
21³-20³ = (21-20)(21²+21×20+20²)
= (1)(441+420+400)
= 1061
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