Question

What is a simpler form of the expression?
(4k + 5)(3k^2 - 4k - 4)

Answer 1

`12k^3 -k^2-36k-20`

Explanation:

Step 1: Distribute

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

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

`12k^3-16k^2-16k+15k^2-20k-20`

Step 2: Combine like terms

`12k^3+(-16k^2+15k^2)+(-16k-20k)-20`

`12k^3 -k^2-36k-20`

Answer:
`12k^3 -k^2-36k-20`