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2 years ago

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Mathematics

1 answer:

mariarad [96]2 years ago

8 0

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)

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