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Question
If x = a2 – bc, y = b2 – ca, and z = c2 – ab; find the value of ay – bx + cz
Solution
x = a2 − bc, y = b2 − ca, z = c2 − ab
ay – bx + cz = a (b2 − ca) − b (a2 − bc) + c (c2 − ab)
= ab2 − ca2 − a2b + b2c + c3 − abc
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