M²-5m+6/m²+7m+12*m²+3m/m²-4m+4

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Алгебра

Алфея

8 декабря, 04:01

M²-5m+6/m²+7m+12*m²+3m/m²-4m+4

+4

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Лидия · Answer 1

(m²-5m+6) : (m²+7m+12) * (m²+3m) : (m²-4m+4) =

m²+7m+12 = 0 m²-4m+4 = 0

по 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)