Answer
$m^{2}+\frac{1}{9}m-\frac{2}{81}$
Work Step by Step
$(m+\frac{2}{9})(m-\frac{1}{9})=m(m-\frac{1}{9})+\frac{2}{9}(m-\frac{1}{9})=(m)(m)+(m)(-\frac{1}{9})+(\frac{2}{9})(m)+(\frac{2}{9})(-\frac{1}{9})=m^{2}+\frac{2}{9}m-\frac{1}{9}m-\frac{2}{81}=m^{2}+\frac{1}{9}m-\frac{2}{81}$