The product of \( \mathrm{HCF} \) and LCM of two polynomials is \( \left(x^{2}-1\right)\left(x^{...

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The product of \( \mathrm{HCF} \) and LCM of two polynomials is \( \left(x^{2}-1\right)\left(x^{4}-1\right) \), then the product of the polynomials is
(a) \( \left(x^{2}-1\right)\left(x^{2}+1\right) \)
(b) \( \left(x^{2}-1\right)\left(x^{2}+1\right)^{2} \)
(c) \( \left(x^{2}-1\right)^{2}\left(x^{2}+1\right) \)
(d) None of these
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