Simplify using the vertical method.
(3k + 4)(3k2 – 5k – 3)

9k3 + 27k2 – 11k – 12

9k3 – 3k2 + 11k – 12

9k3 + 29k2 – 3k – 12

9k3 – 3k2 – 29k – 12

Respuesta :

Answer:

(D) [tex]9k^3-3k^2-29k-12[/tex]

Step-by-step explanation:

The given expression is:

[tex](3k+4)(3k^2-5k-3)[/tex]

Upon simplifying the above expression, we get

=[tex]3k(3k^2-5k-3)+4(3k^2-5k-3)[/tex]

=[tex]9k^3-15k^2-9k+12k^2-20k-12[/tex]

Solving the like terms together, we have

=[tex]9k^3-3k^2-29k-12[/tex]

which is the required simplified form of the given expression.

Hence, option D is correct.

Answer: 9k3 – 3k2 – 29k – 12

Step-by-step explanation: