Question

Упростите выражениеееее!"

Answer 1

$2m-frac{m-4}{m^2+8m+16}:frac{1}{16-m^2}=2m-frac{m-4}{(m+4)^2}cdot frac{(4-m)(4+m)}{1}=2m+frac{(m-4)^2}{m+4}=\\=frac{2m^2+8m+m^2-8m+16}{m+4}=frac{3m^2+16}{m+4}$