Answer: The required expression is [tex]x^2-5x+4.[/tex]
Step-by-step explanation: We are given that
[tex]p(x)=x^2-1,\\\\q(x)=5(x-1).[/tex]
We are to find the expression that is equivalent to (p-q)(x).
We know that for any two functions f(x) and g(x), we have
[tex](f-g)(x)=f(x)-g(x).[/tex]
Therefore we get
[tex](p-q)(x)\\\\=p(x)-q(x)\\\\=(x^2-1)-(5(x-1))\\\\=x^2-1-5x+5\\\\=x^2-5x+4.[/tex]
Thus, the required expression is [tex]x^2-5x+4.[/tex]
