Subtract. Simplify by removing a factor of 1 when possible.

Question

(10bf)/(b^2-f^2)-(b-f)/b+f)

Thank you for your help

Answer 1

hint
b^2-f^2 = (b-f)(b+f)

Answer 2

So, is the answer (b-f)(b+f)? which I think goes at the bottom as a fraction, and if it does, what is the number that goes on top?

However, I could be wrong, can you please help me understand? Thank you.

Answer 3

(10bf)/(b^2-f^2)-(b-f)/b+f)
=(10bf)/((b+f))(b-f)) - (b-f)/(b+f)
Now multiply second term top and bottom by (b-f) to get a common denominator
(10bf)/((b+f))(b-f)) - (b-f)(b-f)/((b+f)(b-f))

You can take it from here.