answer the question with process.
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x + y + z = 0
=> x + y = - z ---------(1)
On cubing both sides, we get
x^3 + y^3 + 3xy ( x + y) = - z^3
=> x^3 + y^3 + 3xy ( - z) = - z^3 [ using equation 1]
=> x^3 + y^3 - 3xyz = - z^3
=> x^3 + y^3 + z^3 = 3xyz
Hence Proved.....
=> x + y = - z ---------(1)
On cubing both sides, we get
x^3 + y^3 + 3xy ( x + y) = - z^3
=> x^3 + y^3 + 3xy ( - z) = - z^3 [ using equation 1]
=> x^3 + y^3 - 3xyz = - z^3
=> x^3 + y^3 + z^3 = 3xyz
Hence Proved.....
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