If X = A2 – Bc, Y = B2 – Ca, and Z = C2 – Ab; Find the Value of Ax + by + Cz

If x = a² – bc, y = b² – ca, and z = c² – ab; find the value of ax + by + cz

Sum

x = a² − bc, y = b² − ca, z = c² − ab

ax +by + cz = a (a² − bc) + b (b² − ca) + c (c² − ab)

= a³− abc + b³ − abc + c³ − abc

= a³ + b³ + c³ − 3abc

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