Question

perform the indicated operation by removing the parentheses and combining like terms.

\\(-3x - 9) + (6x^2 + 5x)\\

Explanation:

Identify the given expression

We are given the following polynomial addition problem:

$$ (-3x - 9) + (6x^2 + 5x) $$

Remove the parentheses

Using the Polynomial Addition concept, we remove the parentheses. Since the operation between the groups is addition, the signs of the terms inside remain unchanged:

$$ -3x - 9 + 6x^2 + 5x $$

Group the like terms

Using the Polynomial Simplification concept, we group terms with the same variable power together:

$$ 6x^2 + (-3x + 5x) - 9 $$

Combine the like terms

We combine the linear terms by adding their coefficients:

$$ 6x^2 + 2x - 9 $$

Answer:

\(6x^2 + 2x - 9\)