(x^2-4x+6)(x-3)^-1

To simplify the expression (x^2 - 4x + 6)(x - 3)^-1, we can use the concept of the product rule for exponents.

First, let's rewrite (x - 3)^-1 as 1/(x - 3). Now, we can express the expression as:

(x^2 - 4x + 6) * (1/(x - 3))

To simplify this expression, we can distribute the numerator of (x^2 - 4x + 6) to both terms of the denominator (x - 3).

(x^2 - 4x + 6) * (1/(x - 3)) = (x^2 - 4x + 6)/(x - 3)

Therefore, the simplified expression is (x^2 - 4x + 6)/(x - 3).