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Evaluate each of the following: (103)^3 ...

Evaluate each of the following: `(103)^3` (ii) `(98)^3` (iii) `(9. 9)^3`

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To evaluate the expressions \( (103)^3 \), \( (98)^3 \), and \( (9.9)^3 \), we can use the algebraic identities for cubes. ### Part (i): Evaluate \( (103)^3 \) 1. **Identify A and B**: Let \( A = 100 \) and \( B = 3 \). Then, we can express \( 103 \) as \( A + B \). 2. **Apply the Identity**: Use the identity \( (A + B)^3 = A^3 + B^3 + 3AB(A + B) \). 3. **Substitute Values**: \[ ...
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