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If x+y+z=0,show that x^3+y^3+z^3=3xyz

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If x+y+z=0,show that x^3+y^3+z^3=3xyz

    • Posted by Harkirpal Khangura 5 years, 1 month ago

    CBSE > Class 09 > Mathematics
    • 1 answers

    Chinmay Bhatnagar 5 years, 1 month ago

    We know that X3+Y3+Z3-3XYZ=(X+Y+Z)(X2+Y2+Z2-XY-YZ-ZX) PUTTING X+Y+Z=0 X3+Y3+Z3-3XYZ=(0)(X2+Y2+Z2-XY-YZ-ZX) X3+Y3+Z3-3XYZ=0 X3+Y3+Z3=3XYZ

    1Thank You

    ANSWER
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