Question

Упростите выражение
(m+ m/n) * (m- m/n)

Answer 1

$(m+frac{m}{n})(m-frac{m}{n})=m^2-(frac{m}{n})^2=m^2-frac{m^2}{n^2}=frac{m^2n^2-m^2}{n^2}=\\=frac{m^2(n^2-1)}{n^2}=frac{m^2(n-1)(n+1)}{n^2}$