Question

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

Answer 1

Answer:

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

Step-by-step 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: $12k^3 -k^2-36k-20$