Question

subtract. simplify removing a factor of 1 when possible
17fb/f^2-b^2 - f-b/f+b

Answer 1

\[\Large \frac{17fb}{f^2-b^2} - \frac{f-b}{f+b}\]



\[\Large \frac{17fb}{(f-b)(f+b)} - \frac{f-b}{f+b}\]



\[\Large \frac{17fb}{(f-b)(f+b)} - \frac{(f-b)(f-b)}{(f-b)(f+b)}\]



\[\Large \frac{17fb-(f-b)(f-b)}{(f-b)(f+b)}\]



\[\Large \frac{17fb-(f^2-2fb+b^2)}{(f-b)(f+b)}\]



\[\Large \frac{17fb-f^2+2fb-b^2}{(f-b)(f+b)}\]



\[\Large \frac{-f^2+19fb-b^2}{(f-b)(f+b)}\]



\[\Large \frac{-f^2+19fb-b^2}{f^2-b^2}\]



So \[\Large \frac{17fb}{f^2-b^2} - \frac{f-b}{f+b}=\frac{-f^2+19fb-b^2}{f^2-b^2}\]

Answer 2

if that answer doesn't work, then try \[\Large\frac{-f^2+19fb-b^2}{(f-b)(f+b)}\]