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Question

Question
Consider the following examples and use the distributive property to expand the linear expressions.

(3 points)
Expand the following expressions without including any spaces. If you include any spaces, your answer will be marked as incorrect.

6(3x−5)=


2(3x−5)=


2(3+8x)=


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page 12 of 12

Answer 1

To expand the expressions using the distributive property, we multiply the term outside the parentheses by each term inside the parentheses.

1. For \(6(3x - 5)\): \[ 6(3x) - 6(5) = 18x - 30 \] So, the answer is: \[ 18x-30 \]

2. For \(2(3x - 5)\): \[ 2(3x) - 2(5) = 6x - 10 \] So, the answer is: \[ 6x-10 \]

3. For \(2(3 + 8x)\): \[ 2(3) + 2(8x) = 6 + 16x \] So, the answer is: \[ 6+16x \]

Here are all the expanded expressions without any spaces:

• \(18x-30\)
• \(6x-10\)
• \(6+16x\)