Simplify x^2 - 9x + 18/ x^2 - 6x + 9 for all values of x for which the expression is defined.

A. x-3/x-6
B. x-6/x-3
C. x-1/x+9
D. x+9/x-1

Please explain how you work this problem in detail. Thanks.

1 answer

Assuming you mean
(x^2 - 9x + 18)/ (x^2 - 6x + 9)
= (x-6)(x-3)/((x-3)(x-3))
= (x-6)/(x-3) , x ≠ 3

which would have been B) with proper brackets.