Problem 44 - Introductory Algebra for College Students

Question

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

Step-by-Step Solution

Answer

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

Step 1: Identify the Terms Inside the Parentheses

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

Step 2: 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 \(7*y = 7y\)

Step 3: Write the Final Expression

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