Given the following rational expression, which of the listed choices is in the proper format to perform the specified operation?
x+6/x-2 divided by x^2-36/x^2-4
A. x-2/x+6 • (x+6)(x-6)/(x+2)(x-2)
B. x-2/x+6 • (x+2)(x-2)/(x+6)(x-6)
C. x+6/x-2 • (x+2)(x-2)/(x+6)(x-6)
D. x+6/x-2 • (x+6)(x-6)/(x+2)(x-2)
The proper format to perform the division of rational expressions is to multiply the first expression by the reciprocal of the second expression.
So, the correct answer is:
C. x+6/x-2 • (x+2)(x-2)/(x+6)(x-6)