When the sum of expressions are taken, the expressions are added.
The simplified expression \(\mathbf{(3n^2 - 5n + 6) + (-8n^2 - 3n - 2)}\) is \(\mathbf{(c)\ -5n^2 - 8n + 4}\)
The expression is given as:
\(\mathbf{(3n^2 - 5n + 6) + (-8n^2 - 3n - 2) =}\)
Remove brackets
\(\mathbf{(3n^2 - 5n + 6) + (-8n^2 - 3n - 2) =3n^2 - 5n + 6 -8n^2 - 3n - 2}\)
Collect like terms
\(\mathbf{(3n^2 - 5n + 6) + (-8n^2 - 3n - 2) =3n^2 -8n^2 - 5n- 3n + 6 - 2}\)
\(\mathbf{(3n^2 - 5n + 6) + (-8n^2 - 3n - 2) = -5n^2 - 8n + 4}\)
Hence, the simplified expression \(\mathbf{(3n^2 - 5n + 6) + (-8n^2 - 3n - 2)}\) is \(\mathbf{(c)\ -5n^2 - 8n + 4}\)
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