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Chapter 1: Problem 42

Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$(5 x+3) 6$$

Short Answer

Expert verified
The given expression, when rewritten without parentheses using the distributive property, becomes \(30x + 18\).

Step by step solution

01

Understanding the expression

The given expression is \( (5x + 3)6 \). Here, we need to apply the distributive property.
02

Applying the distributive property

The distributive property states that for all real numbers a, b, and c, the equation a(b + c) is equivalent to ab + ac. Apply this to the expression, to get \(5x * 6 + 3 * 6\).
03

Solving each term

Calculate \(5x * 6\) and \(3 * 6\) separately. This yields \(30x + 18\).

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