Problem 45
Question
Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$5(3 x-2+4 y)$$
Step-by-Step Solution
Verified Answer
The expression \(5(3x - 2 + 4y)\) without parentheses, using the distributive property, is \(15x - 10 + 20y\).
1Step 1: Identify the terms inside the parentheses
There are three terms inside the parentheses: \(3x\), \(-2\), and \(4y\).
2Step 2: Apply the distributive property
Multiply the term outside the parentheses (5) by each of the terms inside the parentheses. This gives: \(5 \cdot 3x\), \(5 \cdot -2\), and \(5 \cdot 4y \)
3Step 3: Perform the multiplication
Perform the multiplication for all the terms obtained in step 2. The new expression becomes: \(15x -10 + 20y \)
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Problem 45
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