Сократите дробь:

а) 2m^2 - 8/m^2+6m + 8 (дробью)

б) 2m^2 - 5m+2/mn - 2n - 3m+6 (дробью)

A

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

m²+6m+8=0

m1+m2=-6 U m1*m2=8⇒m1=-2 U m2=-4

б

2m²-5m+2=2 (m-1/2) (m-2) = (2m-1) (m-2)

D=25-16=9

m1 = (5-3) / 4=1/2 U m2 = (5+3) / 4=2

mn-2n-3m+6=n (m-2) - 3 (m-2) = (m-2) (n-3)

(2m-1) (m-2) / (m-2) (n-3) = (2m-1) / (n-3)