Question

12.Divide. (x^2+2x+1/x^2-8x+16)/(x+1/x^2-16

Answer 1

For this case we have the following expression:
 (x ^ 2 + 2x + 1 / x ^ 2-8x + 16) / (x + 1 / x ^ 2-16)
 Rewriting we have:
 (((x + 1) (x + 1)) / ((x-4) (x-4))) / (x + 1 / ((x + 4) (x-4)))
 Then, we cancel similar terms:
 ((x + 1) / (x-4)) / (1 / (x + 4))
 Rewriting:
 ((x + 1) (x + 4)) / (x-4)
 Answer:
 ((x + 1) (x + 4)) / (x-4)