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

Question

(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

Let's expand the given expressions using the distributive property.

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 \(-3(3+8x)\): \[ -3(3) - 3(8x) = -9 - 24x \] So, the answer is: \[ -9-24x \]

Here are all the expanded expressions without spaces:

• \(-18x-30\)
• \(-6x-10\)
• \(-9-24x\)