1
1 Answer Cesareo R x3 −x2y −y3 xy2 = (x −y)(x2 y2) Explanation x3 −x2y −y3 xy2 = y3(( x y)3 − ( x y)2 ( x y) −1) but z3 −z2 z − 1 = 0 has a root z = 1 making z3 −z2 z − 1 = (z −1)(bz2 cz d) equating the coefficients we find ⎧⎪ ⎪ ⎪ ⎪ ⎨⎪ ⎪ ⎪ ⎪⎩d − 1 = 0 c − d 1 = 0 b − c − 1 = 0 1 − b = 0 solving for b,c,dX^2(y(x^2)^(1/3))^2 = 1 Natural Language;