Chapter A.4, Problem 42E

In Problems 35–42, imagine that the indicated “solutions” were given to you by a student whom you were tutoring in this class.

(A)    Is the solution correct? If the solution is incorrect, explain what is wrong and how it can be corrected.

(B)    Show a correct solution for each incorrect solution.

42.     $x+\frac{x-2}{x^2-3x+2}=\frac{x+x-2}{x^2-3x+2}=\frac{2}{x-2}$