Final answer:
To simplify the rational expression x²-x / (x-1)(x+7), you can cancel out the common factor of x in the numerator and denominator. The excluded values are x = 1 and x = -7.
Step-by-step explanation:
To simplify the rational expression x²-x / (x-1)(x+7), you can cancel out the common factor of x in the numerator and denominator.
So, the simplified expression becomes (x(x-1)) / ((x-1)(x+7)).
The excluded values are the values of x that make the denominator equal to zero. In this case, the excluded values are x = 1 and x = -7.