Simplify the following expression: 3a - 6 + a2 - 3(a2 + 8)
Simplifying the given expression:
3a - 6 + a^2 - 3(a^2 + 8)
First simplify within the parentheses:
3a - 6 + a^2 - 3a^2 - 24
Next, combine like terms:
(3a - 3a^2) + (a^2 - 6 - 24)
This simplifies to:
-3a^2 + a^2 - 30
Combining like terms further:
(a^2 - 3a^2) - 30
This can be written as:
-2a^2 - 30
Therefore, the simplified expression is -2a^2 - 30.
To simplify the expression 3a - 6 + a^2 - 3(a^2 + 8), we can follow these steps:
1. Distribute the -3 to the terms inside the parentheses:
3a - 6 + a^2 - 3a^2 - 24
2. Combine like terms:
(3a - 3a^2) + (a^2 - 6 - 24)
3. Simplify the terms:
-3a^2 + 3a + a^2 - 30
4. Combine like terms:
-2a^2 + 3a - 30
Therefore, the simplified expression is -2a^2 + 3a - 30.