Question

Can someone help me on this question,

simplify:
[(m+n) / (m^2-n^2)] x [(m^2-2mn+n^2)/(m^2-mn)]

answer : 1/m

Answer 1

u need to cross multiply and then simplify ! there is no easier way !

Answer 2

Well
\[\frac{m + n}{m^2 - n^2}.\frac{m^2 - 2mn + n^2}{m^2 - mn} = \frac{m+n}{(m-n)(m+n)}.\frac{(m-n)^2}{m(m-n)}\]
Now you can see a lot of things to cancel.