Expanding the expression:
(a+3)(a-5) = a^2 - 5a + 3a - 15 = a^2 - 2a - 15
(a-1)*(a-2) = a^2 - 2a - 1
Subtracting the two expressions:
(a^2 - 2a - 15) - (a^2 - 2a - 1) = a^2 - 2a - 15 - a^2 + 2a + 1
Simplifying, we get:
-a - 14
Therefore, (a+3)(a-5) - (a-1)*(a-2) simplifies to -a - 14.
Expanding the expression:
(a+3)(a-5) = a^2 - 5a + 3a - 15 = a^2 - 2a - 15
(a-1)*(a-2) = a^2 - 2a - 1
Subtracting the two expressions:
(a^2 - 2a - 15) - (a^2 - 2a - 1) = a^2 - 2a - 15 - a^2 + 2a + 1
Simplifying, we get:
-a - 14
Therefore, (a+3)(a-5) - (a-1)*(a-2) simplifies to -a - 14.