Question

Subtract:

2(k−4)−3(2k−1)
.(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To subtract the given expression, we need to distribute the coefficients to each term within the parentheses first.

2(k−4) = 2k - 8
3(2k−1) = 6k - 3

Now, we can subtract the expressions:

2(k−4)−3(2k−1) = (2k - 8) - (6k - 3)

Using the distributive property, we can remove the parentheses:

= 2k - 8 - 6k + 3

Combining like terms, we get:

= (2k - 6k) + (-8 + 3)
= -4k - 5

So, 2(k−4)−3(2k−1) simplifies to -4k - 5.

Answer 2

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

To subtract the expression 2(k-4) - 3(2k-1), we need to distribute the coefficients to their respective terms and then simplify.

First, distribute the 2 to the terms inside the parentheses:
2(k-4) = 2k - 8

Next, distribute the -3 to the terms inside the parentheses:
-3(2k-1) = -6k + 3

Now, we can combine like terms:
2k - 8 - 6k + 3

Combine the like terms with the same variable:
(2k - 6k) + (-8 + 3) = -4k - 5

Therefore, the subtraction of the expression 2(k-4) - 3(2k-1) simplifies to -4k - 5.

Answer 3

[AI-generated answer — Explain Bot]

To subtract the expression 2(k-4) - 3(2k-1), you need to first distribute the factors inside the parentheses. This means multiplying each term inside the parentheses by the factor outside the parentheses.

Let's simplify each part separately:

Starting with 2(k-4):
Distributing the 2 to both terms inside the parentheses, we get:
2 * k = 2k
2 * -4 = -8

So, 2(k-4) simplifies to 2k - 8.

Now let's simplify 3(2k-1):
Distributing the 3 to both terms inside the parentheses, we get:
3 * 2k = 6k
3 * -1 = -3

So, 3(2k-1) simplifies to 6k - 3.

Now, we can substitute the simplified expressions back into our original equation and perform the subtraction:

2(k-4) - 3(2k-1) becomes:
(2k - 8) - (6k - 3)

Remove the parentheses:
2k - 8 - 6k + 3

Combine like terms:
(2k - 6k) + (-8 + 3)
-4k - 5

Thus, the final simplified expression is -4k - 5.