Question

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

Answer 1

Answer: 9k3 – 3k2 – 29k – 12

Explanation:

Answer 2

(D)
`9k^3-3k^2-29k-12`

Explanation:

The given expression is:

`(3k+4)(3k^2-5k-3)`

Upon simplifying the above expression, we get

=
`3k(3k^2-5k-3)+4(3k^2-5k-3)`

=
`9k^3-15k^2-9k+12k^2-20k-12`

Solving the like terms together, we have

=
`9k^3-3k^2-29k-12`

which is the required simplified form of the given expression.

Hence, option D is correct.