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