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Question

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

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

−6(3x+5)=


−2(3x+5)=


−3(3+8x)=


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Answer 1

To expand the given expressions using the distributive property, you multiply the factor outside the parentheses by each term inside the parentheses. Here are the expanded forms:

1. −6(3x+5): \[ −6 \cdot 3x − 6 \cdot 5 = −18x − 30 \]

2. −2(3x+5): \[ −2 \cdot 3x − 2 \cdot 5 = −6x − 10 \]

3. −3(3+8x): \[ −3 \cdot 3 − 3 \cdot 8x = −9 − 24x \]

So, the final answers are:

• −6(3x+5) = −18x−30
• −2(3x+5) = −6x−10
• −3(3+8x) = −9−24x