Posted by Jane on .
Simplify x^2  9x + 18/ x^2  6x + 9 for all values of x for which the expression is defined.
A. x3/x6
B. x6/x3
C. x1/x+9
D. x+9/x1
Please explain how you work this problem in detail. Thanks.

Math 
Reiny,
Assuming you mean
(x^2  9x + 18)/ (x^2  6x + 9)
= (x6)(x3)/((x3)(x3))
= (x6)/(x3) , x ≠ 3
which would have been B) with proper brackets.