Question

1. simplify

(5rt - 3rw - 8tw) + (6rt - 4rw + 2tw)

Explanation:

Step1: Remove parentheses

To simplify the expression, we first remove the parentheses. Since there is a plus sign in front of the second parentheses, the signs of the terms inside remain the same. So we have:
\(5rt - 3rw - 8tw + 6rt - 4rw + 2tw\)

Step2: Combine like terms

Next, we combine the like terms. For the \(rt\) terms: \(5rt + 6rt = 11rt\). For the \(rw\) terms: \(-3rw - 4rw = -7rw\). For the \(tw\) terms: \(-8tw + 2tw = -6tw\).

Answer:

\(11rt - 7rw - 6tw\)