HCF and LCM of polynomials

Algebra Level 2

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

3 x 4 + 8 x 3 y 10 x 2 y 2 + 7 x y 3 2 y 4 3x^4 + 8x^3y - 10x^2y^2 + 7xy^3 - 2y^4 3 x 4 8 x 3 y 10 x 2 y 2 + 7 x y 3 + 2 y 4 3x^4 - 8x^3y - 10x^2y^2 + 7xy^3 + 2y^4 3 x 4 + 8 x 3 y + 10 x 2 y 2 + 7 x y 3 + 2 y 4 3x^4 + 8x^3y + 10x^2y^2 + 7xy^3 + 2y^4 3 x 4 8 x 3 y + 10 x 2 y 2 + 7 x y 3 2 y 4 3x^4 - 8x^3y + 10x^2y^2 + 7xy^3 - 2y^4

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