Problem 30 - Introductory Algebra for College Students

Question

Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$9(2 x+5)$$

Step-by-Step Solution

Answer

The simplified form of the algebraic expression is \(18x + 45\).

Step 1: Identify the Terms

The given expression is \(9(2x+5)\). Here, a is 9, b is \(2x\), and c is 5.

Step 2: Apply the Distributive Property

Apply the distributive property a(b + c) = ab + ac. This gives us \(9*2x + 9*5\).

Step 3: Perform the Multiplication

Perform the multiplication operations, which gives us \(18x + 45\) as the simplified algebraic expression without parentheses.