Evaluate the following using suitable identities (i) (98)³ (ii) (101)³
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98³ can be written as (100-2)³
So, we'll use the identity -
(a-b)³= a³-b³-3a²b+3ab²
(100-2)³ = 100³ - 2³ - 3(100)²(2) + 3(100)(2)²
= 1000000 - 8 - 60000 + 1200
= 941192
Answer - 98 ³ = 941192
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