Let's simplify the given expression:
(а+1)^2 = a^2 + 2a + 1
3(a-1)^2 = 3(a^2 - 2a + 1) = 3a^2 - 6a + 3
-5(a+1)(a-1) = -5(a^2 - 1) = -5a^2 + 5
Adding everything together:(a^2 + 2a + 1) + (3a^2 - 6a + 3) - (5a^2) + 5)
Simplifying further:a^2 + 2a + 1 + 3a^2 - 6a + 3 - 5a^2 + 5= a^2 + 3a^2 - 5a^2 + 2a - 6a + 1 + 3 + 5= -a^2 - 4a + 9
Therefore, the simplified expression is -a^2 - 4a + 9.
Let's simplify the given expression:
(а+1)^2 = a^2 + 2a + 1
3(a-1)^2 = 3(a^2 - 2a + 1) = 3a^2 - 6a + 3
-5(a+1)(a-1) = -5(a^2 - 1) = -5a^2 + 5
Adding everything together:
(a^2 + 2a + 1) + (3a^2 - 6a + 3) - (5a^2) + 5)
Simplifying further:
a^2 + 2a + 1 + 3a^2 - 6a + 3 - 5a^2 + 5
= a^2 + 3a^2 - 5a^2 + 2a - 6a + 1 + 3 + 5
= -a^2 - 4a + 9
Therefore, the simplified expression is -a^2 - 4a + 9.