If x = a – b, y = b – c, z = c – a, then the numerical value of the algebraic expression x3 + y + z – 3xyz will be

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Here , x = a – b, y = b – c, z = c – a We have x + y + z = a – b + b – c + c – a = 0 ∴ x3 + y + z – 3xyz = 0 Hence , the numerical value of algebraic expression is 0 .

If x = a – b, y = b – c, z = c – a, then the numerical value of the algebraic expression x3 + y + z – 3xyz will be

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