(c + 2)(c - 3) - (c + 1)(c + 3)= c^2 - 3c + 2c - 6 - (c^2 + 3c + c + 3)= c^2 - 3c + 2c - 6 - c^2 - 3c - c - 3= c^2 - 3c + 2c - 6 - c^2 - 3c - c - 3= c^2 + 2c - 6 - c^2 - 3c - c - 3= -2c - 9
(c + 2)(c - 3) - (c + 1)(c + 3)
= c^2 - 3c + 2c - 6 - (c^2 + 3c + c + 3)
= c^2 - 3c + 2c - 6 - c^2 - 3c - c - 3
= c^2 - 3c + 2c - 6 - c^2 - 3c - c - 3
= c^2 + 2c - 6 - c^2 - 3c - c - 3
= -2c - 9