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Consider the following Diophantine equation in integer numbers and using the general binomial theorem, we have this equation: $$(x + y - z)^p = p(x + y)(z - x)(z - y)*N(p, x, y, z) + x^p + y^p - z^p$$ , that can be reduced to:
$$(x + y - z)^p = p(x + y)(z - x)(z - y)*N(p, x, y, z)$$, considering ...