Question 125
Given the expression
$$
X=\left(a+a^{-1}\right)^{-1}\left(a^{2}+3 a+2\right)\left(a^{2}-3 a+2\right)\left(a^{2}-4\right)^{-1}
$$
a) Simplify the expression $X$ and write it as a product.
(8 points)
b) Compute the value of the expression $X$ for $a=-\frac{1}{3}$.
$$
X=\left(a+a^{-1}\right)^{-1}\left(a^{2}+3 a+2\right)\left(a^{2}-3 a+2\right)\left(a^{2}-4\right)^{-1}
$$
a) Simplify the expression $X$ and write it as a product.
(8 points)
b) Compute the value of the expression $X$ for $a=-\frac{1}{3}$.