Chapter A.4, Problem 41E

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.

41.     $\frac{2x^2}{x^2-4}-\frac{x}{x-2}=\frac{2x^2+x^2-2x}{x^2-4}=\frac{x}{x+2}$