Haha, this is more a problem of reading the question right :)
(x^2-4x+4)/(x^2+10x+25) * (x+5)/(x^2+3x-10)
Upon factoring the numerator and denominators...
[(x-2)^2/(x+5)^2]*(x+5)/((x+5)(x-2)) so on the right side the (x+5)s cancel
((x-2)^2/(x+5)^2)*1/(x-2) which is:
[(x-2)^2]/[(x+5)^2*(x-2)] now you can see that (x-2)^1 cancels
(x-2)/(x+5)^2 or if you prefer it expanded...
(x-2)/(x^2+10x+25)
