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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Answer 1

To expand the given expressions using the distributive property, we'll multiply the number outside the parentheses with each term inside the parentheses:

1. For \(6(3x−5)\): \[ 6(3x) - 6(5) = 18x - 30 \] The expanded expression is: 18x-30

2. For \(2(3x−5)\): \[ 2(3x) - 2(5) = 6x - 10 \] The expanded expression is: 6x-10

3. For \(2(3+8x)\): \[ 2(3) + 2(8x) = 6 + 16x \] The expanded expression is: 6+16x