SOLUTION: how do you do this? simplify (all positive exponents) {{{(r^2-4r+4)/(4-r^2)}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: how do you do this? simplify (all positive exponents) {{{(r^2-4r+4)/(4-r^2)}}}       Log On


   

Question 134169: how do you do this?
simplify (all positive exponents)
%28r%5E2-4r%2B4%29%2F%284-r%5E2%29
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:
%28r%5E2-4r%2B4%29%2F%284-r%5E2%29 Factor the numerator and the denominator.
%28%28r-2%29%28r-2%29%29%2F%282-r%29%282%2Br%29 Rearrange the denominator.
%28cross%28%28r-2%29%29%28r-2%29%29%2F%28-cross%28%28r-2%29%29%28r%2B2%29%29 Cancel the indicated terms.
-%28%28r-2%29%2F%28r%2B2%29%29