To simplify the expression 3a - 6 + a^2 - 3( a^2 + 8), we can start by distributing the -3 to the terms inside the parentheses:
3a - 6 + a^2 - 3a^2 - 24
Next, let's combine like terms:
(3a - 3a^2) + (a^2 - 6 - 24)
-a^2 + 3a + a^2 - 30
The terms -a^2 and a^2 cancel each other out, leaving us with:
3a - 30
Therefore, the simplified expression is 3a - 30.
3a - 6 + a^2 - 3( a^2 + 8)
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