Question

№4
((1/(m-1))-((m+1)/(m^2+m+1))):(1+(1/(n^3-1)))

Answer 1

$(frac{1}{m-1}- frac{m+1}{m^2+m+1}):(1+frac{1}{m^3-1})= \ =frac{m^2+m+1-(m+1)(m-1)}{(m-1)(m^2+m+1)}}: frac{m^3-1+1}{m^3-1}=frac{m^2+m+1-m^2+1}{m^3-1}: frac{m^3}{m^3-1}= \ =frac{m+2}{m^3-1}* frac{m^3-1}{m^3}==frac{m+2}{m^3}$