Part A: The product of (n2 – 6n + 3) and -4n is
A. -4n^3+24n^2+12n
B. -4n^3+24n^2-12n
C. 4n^3+24n^2-12n

Part B: When this product is multiplied by -n, the result is
A. 4n^4-24n^3+12n^2
B. -4n^4+24n^3+12n^2
C. 4n^4+24n^3+12n^2

Respuesta :

Answer:

Part A) Option B. [tex]-4n^{3}+24n^{2}-12n[/tex]

Part B) Option A. [tex]4n^{4}-24n^{3}+12n^{2}[/tex]

Step-by-step explanation:

Part A) we have

[tex](n^{2}-6n+3)(-4n)[/tex]

the product is equal to

[tex]=(n^{2})(-4n)-6n(-4n)+3(-4n)\\=-4n^{3}+24n^{2}-12n[/tex]

Part B) When this product is multiplied by -n, the result is

we have

[tex](-4n^{3}+24n^{2}-12n)(-n)[/tex]

[tex]=(-4n^{3})(-n)+24n^{2}(-n)-12n(-n)\\=4n^{4}-24n^{3}+12n^{2}[/tex]