Simplify the expression.

Question

Show your work.

(2k+1)(k-4)

A. 2k^2-7k+4

B. 2k^2-3k+4

C. 2k^2+9k+4

D. 2k^2-7k-4

Answer 1

The expression can be simplified using the distributive property:

(2k+1)(k-4) = 2k(k-4) + 1(k-4)

= 2k^2 - 8k + k - 4

= 2k^2 - 7k - 4

Therefore, the answer is D. 2k^2-7k-4.