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The HCF and LCM of two polynomials are (...

The HCF and LCM of two polynomials are `(x+y)` and `(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)`, then the other polynomial is

A

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

B

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

C

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

D

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

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