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JEE MATHEMATICS MCQ: THEORY OF EQUATION

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Analyzing +4 | -1
If x2y+y2z+z2x=2022;x2z+y2x+z2y=2020x^2 y+y^2 z+z^2 x=2022 ; x^2 z+y^2 x+z^2 y=2020. Then value of (x−y)3+(y−z)3+(z−x)3(x-y)^3+(y-z)^3+(z-x)^3 is equal to
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Correct option: B
−6-6
Option B (-6) is correct because the value of (x−y)3+(y−z)3+(z−x)3(x-y)^3+(y-z)^3+(z-x)^3 is -6, which is derived from the given equations.

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