Question

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Answer 1

Answer:

• (d) (x² + y² + z²)³ = 27x²y²z²

Step-by-step explanation:

Use the identity:

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

Substitute as follows:

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

The sum of the cubes is:

• x² + y² + z² = 3(xyz)$^{2/3}$

Cube both sides:

• (x² + y² + z²)³ = 27x²y²z²

Correct choice is (d)