The rational expression is below:?

Question

r ≠ ± 2, r² - 5^r + 6/r² - 4

can you show the steps of how you got the answer.. The answer is no help without the break-down of how you got there. Thnx

Answer 1

The previous two posters are joking. The answer is not 42 (that is the answer to an entirely different question). The answer is r≠±2, (r-3)/(r+2). This is done by factoring the rational expression: (r² - 5r + 6)/(r² - 4) = (r-3)(r-2)/((r-2)(r+2)). Then just cancel the r-2.

By the way, it wasn't strictly necessary to specify r≠±2 in the first expression, since obviously those values are undefined. We could have also omitted r≠2 in the final expression for the same reason (we could NOT have omitted r≠-2, however, since that would allow our solution to have a defined value where the first function does not, and that would make them different functions).

Answer 2

r^2-5r+6=(r-3)(r+2) and r^2-4=(r+2)(r-2)
now in (r^2-5r+6)/(r^2-4),the r+2 can be cancelled out only and only if r is not equal to -2 otherwise it will assume the 0/0 form which is indeterminate. also the r-2 in the denominator will get reduced to 0 if r=2 and reduce the expression to infinite values.
therefore only and only if r is neither 2 nor -2 this expression will be a rational expression and so it is only proper that r is not equal to plus or minus 2 is mentioned.then the rational expression can be reduced to the simplest form (r-3)/(r-2)

Answer 3

The answer is 42.

Answer 4

yes, the answer is 42.