Answer:
x^2-6x
Step-by-step explanation:
Let's start by factoring the top, or numerator of the fraction.
[tex]x^3-7x^2+6x = x(x^2-7x^2+6) = x((x-6)(x-1))[/tex]
Now, you can divide this by (x-1):
[tex]\dfrac{x((x-6)(x-1))}{(x-1)}=x(x-6)=\boxed{x^2-6x}[/tex]
