Let a,b,c,p be rational numbers such that p is not a perfect cube.

Show that a = b = c

when a + b \times p^(1/3) + c \times p^(2/3) = 0

Please show different proofs.

Also tell me how to write mathematical terms like exponents etc. in Brilliant

Let a,b,c,p be rational numbers such that p is not a perfect cube.

Show that a = b = c

when a + b \times p^(1/3) + c \times p^(2/3) = 0

Please show different proofs.

Also tell me how to write mathematical terms like exponents etc. in Brilliant

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