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Q. The HCF of $(x-1)\left(x^2-4\right)$ and $\left(x^2-1\right)(x+2)$ is

Polynomials, LCM and HCF of Polynomials

Solution:

(i) HCF is the product of the common factors with least exponents.
(ii) Factorize the given expressions by using $a^2-b^2=$ $(a+b)(a-b)$.
(iii) $HCF$ is the product of common factors with least exponents.