The $H.C.F.$ of two expressions $p$ and $q$ is $1$. Their $L.C.M.$ is

The $L.C.M.$ and $H.C.F.$ of two polynomials $p(x)$ and $q(x)$ are $36 x^{3}(x+a)(x^{3}-a^{3})$ and $x^{2}(x-a)$ respectively. If $p(x)=4 x^{2}(x^{2}-a^{2})$,find $q(x)$.

The $G.C.D.$ and $L.C.M.$ of two polynomials $p(x)$ and $q(x)$ are $x(x+a)$ and $12x^2(x+a)(x^2-a^2)$ respectively. If $p(x) = 4x(x+a)^2$,find $q(x)$.

Find the $G.C.D.$ of $x^{2}-4$ and $x^{3}-5x+6$.

The product of two non-zero expressions is $(x+y+z) p^{3}$. If their $H.C.F.$ is $p^{2}$,their $L.C.M.$ is

Find the $L.C.M.$ of the polynomials $30 x^{2}+13 x-3$ and $25 x^{2}-30 x+9$.