First you'd want to simply the numerator,
Factor m out of 81m3−25m.
Which results in m(81m2−25)9m+5
Given that the Co-Efficent is 81, the pronumeral (m) is sqaured and 25 is also a Sqaure Number, you may Square Root all of the numerator to produce this: m((9m)2−52)9m+5
Factor using the difference of squares.
Producing: m(9m+5)(9m−5)9m+5
Reduce the expression by cancelling the common factors. (See the denominator, [9m+5] and the numerator [m(9m+5)]
m(9m−5)
Apply the distributive property.
m(9m)+m(−5)
Simplify
9m2+(−5m)
A Note of Caution here, Make sure you understand that a Positive and a Negative form a NEGATIVE:
9m2−⇐5m
Ignore the Arrow, it is just a means of Bolding or Stating something worth noting.
9m2−5m
is your Answer.