Answer:
1)(2m^2-4m)/2(m-2) = m (fourth blank)
2)m^2-2m+1/m-1= m-1 (second blank)
3)m^2-3m+2/m^2-m= (m-2)/m (first blank)
4)m^2-m-2/m^2-1=(m-2)/(m-1) (third blank)
Explanation:
1)
(2m^2-4m)/2(m-2)
=[2m(m-2m)]/2(m-2)
= 2m/2
=m
2)
m^2-2m+1/m-1
= (m-1)^2/(m-1)
=(m-1)(m-1)/(m-1)
=(m-1)
3)
m^2-3m+2/m^2-m
=m^2-m-2m+2/m(m-1)
=m(m-1)-2(m-1)/m(m-1)
= (m-1)(m-2)/m(m-1)
=(m-2)/m
4)
m^2-m-2/m^2-1
=m^2+m-2m-2/(m+1)(m-1)
=m(m+1)-2(m+1)/(m+1)(m-1)
=(m+1)(m-2)/m+1)(m-1)
=(m-2)/(m-1) !