xhamn62 xhamn62
  • 18-05-2022
  • Mathematics
contestada

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

Respuesta :

igoroleshko156
igoroleshko156 igoroleshko156
  • 18-05-2022

Answer:

[tex]12k^3 -k^2-36k-20[/tex]

Step-by-step explanation:

Step 1:  Distribute

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

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

[tex]12k^3-16k^2-16k+15k^2-20k-20[/tex]

Step 2:  Combine like terms

[tex]12k^3+(-16k^2+15k^2)+(-16k-20k)-20[/tex]

[tex]12k^3 -k^2-36k-20[/tex]

Answer: [tex]12k^3 -k^2-36k-20[/tex]

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