Question

expand the expression \\(\frac{1}{2}(3 + 4t - 10)\\).

Explanation:

Step1: Simplify inside the parentheses

First, combine the constant terms inside the parentheses: \(3 - 10 = -7\), so the expression inside becomes \(4t - 7\). The expression is now \(\frac{1}{2}(4t - 7)\).

Step2: Distribute the \(\frac{1}{2}\)

Multiply each term inside the parentheses by \(\frac{1}{2}\): \(\frac{1}{2} \times 4t = 2t\) and \(\frac{1}{2} \times (-7) = -\frac{7}{2}\).

Answer:

\(2t - \frac{7}{2}\)