m²-5m+6/m²+7m+12×m²+3m/m²-4m+4

(m²-5m+6) : (m²+7m+12) * (m²+3m): (m²-4m+4) = m²+7m+12 = 0 m²-4m+4 = 0по т.Виета m₁ + m₂ = -7 по т.Виета m₁ + m₂ = 4 m₁*m₂ = 12 m₁*m₂ = 4 m₁ = -3 m₁ = 2 m₂ = -4 m₂ = 2= (m - 2)(m- 3) m (m+3) / (m + 3)(m + 4)(m - 2)(m- 2) == (m- 3) m / (m + 4)(m - 2)