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Chapter 1: Problem 44

Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$7(2 x+4+y)$$

Short Answer

Expert verified
The simplified expression is \(14x + 28 + 7y\)

Step by step solution

01

Identify the Terms Inside the Parentheses

See the expression \(7(2x + 4 + y)\). Inside the parentheses, there are three terms: \(2x\), \(4\), and \(y\).
02

Apply the Distributive Property

Multiply each term inside the parentheses by the number outside the parentheses, which is 7. Here, it's done as follows: \(7*2x = 14x\), \(7*4 = 28\), and \(7*y = 7y\)
03

Write the Final Expression

Write all the results obtained from Step 2 seperated by '+'. The final expression becomes: \(14x + 28 + 7y\)

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