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The polynomial x^(5) - a^(2)x^(3) - x^(2...

The polynomial `x^(5) - a^(2)x^(3) - x^(2) y^(3) + a^(2) y^(3)` on factorization gives

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HCF and LCM of two polynomials are (x+y) and 3x^(5) + 5x^(4)y + 2x^(3)y^(2) - 3x^(2)y^(3) - 5xy^(4) - 2y^(5) , respectively. If one of the polynomials is (x^(2) - y^(2)) . Then, the other polynomial is