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Mathematics

By using suitable identities, evaluate the following:

(10.1)3

Expansions

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Answer

(10.1)3 = (10 + 0.1)3

Using (a + b)3 = a3 + b3 + 3(a)(b)(a + b),

(10 + 0.1)3 = (10)3 + (0.1)3 + 3(10)(0.1)(10.1)

= 1000 + 0.001 + 30.3

= 1030.301

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