Question

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

\\((5x - 8) + (8x + 9)\\)

Explanation:

Identify the given expression

We are given the following expression to simplify:

$$ (5x - 8) + (8x + 9) $$

Remove the parentheses

Using the Polynomial Addition concept, we can remove the parentheses because there is a plus sign between the two binomials.

$$ 5x - 8 + 8x + 9 $$

Group the like terms

Using the Polynomial Simplification concept, we group the variable terms and the constant terms together.

$$ (5x + 8x) + (-8 + 9) $$

Combine the like terms

We add the coefficients of the \(x\) terms and combine the constant numbers.

$$ (5 + 8)x + (9 - 8) $$

$$ 13x + 1 $$

Answer:

\(13x + 1\)