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Chapter 6: Problem 45

Simplify each algebraic expression. \(3(x+5)\)

Short Answer

Expert verified
The simplified form of the algebraic expression \(3(x+5)\) is \(3x + 15\).

Step by step solution

01

Identify the distributive property

In the given algebraic expression \(3(x+5)\), the distributive property applies because one term, 3, is multiplied by a binomial, \(x+5\).
02

Apply the distributive property

Using the distributive property, the expression \(3(x+5)\) becomes \(3*x + 3*5 = 3x + 15\). This means that you multiply 3 by each term inside the parentheses.

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