Subtract:

Question

2(k−4)−3(2k−1)
.(1 point)

Answer 1

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.