Question

Subtract: 2(k−4)−3(2k−1).(1 point)
Responses

−4k−5
negative 4 k minus 5

8k−11
8 k minus 11

−4k−11
negative 4 k minus 11

−6k−18
negative 6 k minus 18

Answer 1

To subtract 2(k−4)−3(2k−1), we need to distribute the coefficients:

2(k−4) = 2k - 8
3(2k−1) = 6k - 3

Now we can subtract the two expressions:

(2k - 8) - (6k - 3)

To do this, we can distribute the negative sign inside the second parentheses:

2k - 8 - 6k + 3

Combine the like terms:

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

Therefore, the correct response is: -4k - 5