Question

Спростіть вираз: 1) (m ^ 2 - m)/(m ^ 2 + 4m + 4) - (4 - m)/(m ^ 2 + 4m + 4)

Answer 1

1) (m ^ 2 - m)/(m ^ 2 + 4m + 4) - (4 - m)/(m ^ 2 + 4m + 4) = m^2-m-(4-m)/ m^2+4m+4 = m^2-m-4+m/(m+2)^2 = (m-2)(m+2)/(m+2)^2 = m-2/m+2