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Find the value of (x-a)^3+(x-b)^3+(x-c)^...

Find the value of `(x-a)^3+(x-b)^3+(x-c)^3-3(x-a)(x-b)(x-c)` when `a+b+c=3x`

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To find the value of the expression \((x-a)^3 + (x-b)^3 + (x-c)^3 - 3(x-a)(x-b)(x-c)\) given that \(a + b + c = 3x\), we can use the identity for the sum of cubes. ### Step-by-Step Solution: 1. **Identify the Expression**: We have the expression: \[ (x-a)^3 + (x-b)^3 + (x-c)^3 - 3(x-a)(x-b)(x-c) ...
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