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Chapter 1: Problem 28

Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$4(x+6)$$

Short Answer

Expert verified
The simplified form of the algebraic expression \(4(x+6)\) using the distributive property is \(4x + 24\).

Step by step solution

01

Understand the distributive property

The distributive property of multiplication over addition states that for all real numbers a, b, and c: a(b+c) = ab + ac. This means that the multiplier should distribute equally among the terms inside the bracket.
02

Apply the distributive property

In the given problem, we have \(4(x+6)\). Apply the distributive property, by multiplying \(4\) with both \(x\) and \(6\). That is, \(4*x + 4*6\).
03

Simplify the Expression

The expression now becomes \(4x + 24\). This is the simplified form of the algebraic expression without parentheses.

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