Let a, b, c, p be rational numbers such that p is not a perfect cube.a+bp13+cp23=0, then prove that

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Let a, b, c, p be rational numbers such that p is not a perfect cube.a+bp13+cp23=0, then prove that

Let a, b, c, p be rational numbers such that p is not a perfect cube.a+bp13+cp23=0, then prove that