Question

if x+y+z = 0 then x^3+y^3+z^3​

Answer 1

Answer:

if x+y+z = 0

then ,

x^3+y^3+z^3​ = 3xyz

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Answer 2

Answer:

x+y+z = 0

Prove that : x^3+y^3+z^3 - 3xyz

Step-by-step explanation:

We know that

x^3+ y^3+ z^3 - 3xyz

= (x + y + z) (x^2 + y^2 + z^2 - xy - yz - zx)

Using identity

(0) (x^2 + y^2 + z^2 - xy - yz - zx)

because x + y + z = 0

= 0

=> x^3 + y^3 + z^3 = 3xyz

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