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Without actually calculating the cubes, find the value of each of the following:(i) `(-12)^3+(7)^3+(5)^3` (ii) `(28)^3+(-15)^3+(-13)^3`

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To solve the given problems without actually calculating the cubes, we can use the identity for the sum of cubes. The identity states that if \( x + y + z = 0 \), then: \[ x^3 + y^3 + z^3 = 3xyz \] ### Part (i): Find the value of \( (-12)^3 + 7^3 + 5^3 \) ...
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