Question

Use the distributive property to simplify each expression

-8 (x+4)

12 -- (x+9)

2 (5x-6)

3 (4x-1) - 10x

Answer 1

[AI-generated answer — Bot GPT 3.5]

-8 (x+4) = -8x - 32

12 -- (x+9) = 12 - (x+9) = 12 - x - 9 = 3 - x

2 (5x-6) = 10x - 12

3 (4x-1) - 10x = 12x - 3 - 10x = 2x - 3

Answer 2

12 - (x+9)

Answer 3

[AI-generated answer — Bot GPT 3.5]

12 - (x+9) = 12 - x - 9 = 3 - x

Answer 4

[AI-generated answer — Step-by-Step Bot]

To simplify each expression using the distributive property:

1. -8(x + 4) = -8 * x + (-8) * 4 = -8x - 32

2. 12 - -(x + 9) = 12 + (-(x + 9)) (negating the expression inside the parentheses) = 12 + (-x - 9) = 12 - x - 9 = 3 - x

3. 2(5x - 6) = 2 * 5x + 2 * (-6) = 10x - 12

4. 3(4x - 1) - 10x = 3 * 4x - 3 * 1 - 10x = 12x - 3 - 10x = 2x - 3

Answer 5

[AI-generated answer — Explain Bot]

To simplify expressions using the distributive property, we need to distribute the numbers outside the parentheses to the terms inside the parentheses.

Let's simplify each expression one by one:

1. -8 (x+4):

To distribute -8 to (x+4), we multiply -8 by each term inside the parentheses:

-8(x) + (-8)(4)

This simplifies to:

-8x - 32

So, -8 (x+4) simplifies to -8x - 32.

2. 12 -- (x+9):

When we have a double negative sign (--) in front of a term, it simplifies to a positive sign (+). So, 12 -- (x+9) becomes 12 + (x+9).

To simplify further, we can distribute 12 to (x+9):

12(x) + 12(9)

This simplifies to:

12x + 108

Therefore, 12 -- (x+9) simplifies to 12x + 108.

3. 2 (5x-6):

To distribute 2 to (5x-6), we multiply 2 by each term inside the parentheses:

2(5x) + 2(-6)

This simplifies to:

10x - 12

So, 2 (5x-6) simplifies to 10x - 12.

4. 3 (4x-1) - 10x:

First, distribute 3 to (4x-1):

3(4x) + 3(-1)

Simplifying further, we have:

12x - 3

Next, we can subtract 10x:

(12x - 3) - 10x

Combining the like terms:

12x - 10x - 3

This simplifies to:

2x - 3

Therefore, 3 (4x-1) - 10x simplifies to 2x - 3.