(m-2)^2 - (m+1)(m-3)
Expanding the first term:(m-2)(m-2) = m^2 - 2m - 2m + 4= m^2 - 4m + 4
Expanding the second term:(m+1)(m-3) = m^2 - 3m + m - 3= m^2 - 2m - 3
Subtracting the second term from the first:(m^2 - 4m + 4) - (m^2 - 2m - 3)= m^2 - 4m + 4 - m^2 + 2m + 3= -2m + 7
Therefore, the expression simplifies to:-2m + 7
(m-2)^2 - (m+1)(m-3)
Expanding the first term:
(m-2)(m-2) = m^2 - 2m - 2m + 4
= m^2 - 4m + 4
Expanding the second term:
(m+1)(m-3) = m^2 - 3m + m - 3
= m^2 - 2m - 3
Subtracting the second term from the first:
(m^2 - 4m + 4) - (m^2 - 2m - 3)
= m^2 - 4m + 4 - m^2 + 2m + 3
= -2m + 7
Therefore, the expression simplifies to:
-2m + 7