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Chapter 1: Problem 39

Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$\frac{1}{2}(5 x-12)$$

Short Answer

Expert verified
The expression \(\frac{1}{2}(5x - 12)\) can be simplified to \(2.5x - 6\) without parentheses.

Step by step solution

01

Identify the Factors

Here the factors being distribute are \(\frac{1}{2}\) and \(5x - 12\). The number \(\frac{1}{2}\) is to be distributed inside the parentheses.
02

Apply the Distributive Property

Implementing the distributive property, multiply \(\frac{1}{2}\) by each of the terms inside the parentheses, resulting in \(\frac{1}{2}\)*\(5x\) and \(\frac{1}{2}\)*\(-12\).
03

Simplify the Expression

Multiplying the factors simplifies the expression to \(2.5x\) - \(6\).

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