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cupoosta [38]
3 years ago
6

Please answer this question...No spam​

Mathematics
1 answer:
mariarad [96]3 years ago
8 0

Answer:

  • (d) (x² + y² + z²)³ = 27x²y²z²

Step-by-step explanation:

<u>Use the identity:</u>

  • a³ + b³ + c³ = 3abc if a + b + c = 0

<u>Substitute as follows:</u>

  • a = x^{2/3}, b = y^{2/3}, c = z^{2/3}

<u>The sum of the cubes is:</u>

  • x² + y² + z² = 3(xyz)^{2/3}

<u>Cube both sides:</u>

  • (x² + y² + z²)³ = 27x²y²z²

Correct choice is (d)

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